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Constraints on coasting cosmological models from gravitational-wave standard sirens

Journal Paper
Raffai, P., Pálfi, M., Dálya, G., and Gray, R.
The Astrophysical Journal, Vol. 961, Number 1, id. 17
Publication year: 2024

We present the first test of coasting cosmological models with gravitational-wave standard sirens observed in the first three observing runs of the LIGO-Virgo-KAGRA detector network. We apply the statistical galaxy catalog method adapted to coasting cosmologies and infer constraints on the H0 Hubble constant for the three fixed values of the curvature parameter k={1,0,+1} in H20c2 units. The maximum posteriors and 68.3% highest density intervals we obtained from a combined analysis of 46 dark siren detections and a single bright siren detection are H0={68.1+8.55.6,67.5+8.35.2,67.1+6.65.8} km s1 Mpc1, respectively. All our constraints on H0 are consistent within one sigma with the H0 measured with the differential age method, which provides a constraint on H0 in coasting cosmologies independently from k. Our results constrain all cosmological models with a(t)t linear expansion in the luminosity distance and redshift range of the 47 LIGO-Virgo detections, i.e. dL5 Gpc and z0.8, which practically include all (both strictly linear and quasi-linear) models in the coasting model family. As we have found, the coasting models and the ΛCDM model fit equally well to the applied set of gravitational-wave detections.

The Hitchhiker's Guide to the Galaxy Catalog Approach for Dark Siren Gravitational-wave Cosmology

Journal Paper
Gair, J. R., ..., Raffai, P., et al. (+29 authors)
The Astronomical Journal, Vol. 166, Issue 1, id. 22, pp. 15
Publication year: 2023

We outline the “dark siren” galaxy catalog method for cosmological inference using gravitational wave (GW) standard sirens, clarifying some common misconceptions in the implementation of this method. When a confident transient electromagnetic counterpart to a GW event is unavailable, the identification of a unique host galaxy is in general challenging. Instead, as originally proposed by Schutz, one can consult a galaxy catalog and implement a dark siren statistical approach incorporating all potential host galaxies within the localization volume. Trott & Huterer recently claimed that this approach results in a biased estimate of the Hubble constant, H0, when implemented on mock data, even if optimistic assumptions are made. We demonstrate explicitly that, as previously shown by multiple independent groups, the dark siren statistical method leads to an unbiased posterior when the method is applied to the data correctly. We highlight common sources of error possible to make in the generation of mock data and implementation of the statistical framework, including the mismodeling of selection effects and inconsistent implementations of the Bayesian framework, which can lead to a spurious bias.

Constraints on the Cosmic Expansion History from GWTC-3

LSC Paper
Abbott, R., ..., Raffai, P., et al. (+1673 authors)
The Astrophysical Journal, Vol. 949, Issue 2, id. 76, pp. 37
Publication year: 2023

We use 47 gravitational wave sources from the Third LIGO–Virgo–Kamioka Gravitational Wave Detector Gravitational Wave Transient Catalog (GWTC–3) to estimate the Hubble parameter H(z), including its current value, the Hubble constant H0. Each gravitational wave (GW) signal provides the luminosity distance to the source, and we estimate the corresponding redshift using two methods: the redshifted masses and a galaxy catalog. Using the binary black hole (BBH) redshifted masses, we simultaneously infer the source mass distribution and H(z). The source mass distribution displays a peak around 34 M, followed by a drop-off. Assuming this mass scale does not evolve with the redshift results in a H(z) measurement, yielding ${H}_{0}={68}_{-8}^{+12}\,\mathrm{km}\ \,\ {{\rm{s}}}^{-1}\,{\mathrm{Mpc}}^{-1}$ (68% credible interval) when combined with the H0 measurement from GW170817 and its electromagnetic counterpart. This represents an improvement of 17% with respect to the H0 estimate from GWTC–1. The second method associates each GW event with its probable host galaxy in the catalog GLADE+, statistically marginalizing over the redshifts of each event’s potential hosts. Assuming a fixed BBH population, we estimate a value of ${H}_{0}={68}_{-6}^{+8}\,\mathrm{km}\ \,\ {{\rm{s}}}^{-1}\,{\mathrm{Mpc}}^{-1}$ with the galaxy catalog method, an improvement of 42% with respect to our GWTC–1 result and 20% with respect to recent H0 studies using GWTC–2 events. However, we show that this result is strongly impacted by assumptions about the BBH source mass distribution; the only event which is not strongly impacted by such assumptions (and is thus informative about H0) is the well-localized event GW190814.

Statistical search for angular non-stationarities of long gamma-ray burst jets using Swift data

Journal Paper
Budai, A., Raffai, P., Borgulya, B., Dawes, B. A., and Szeifert, G.
Monthly Notices of the Royal Astronomical Society, Vol. 509, Issue 4, p. 6179
Publication year: 2022

In a previous article, we argued that angular non-stationarities of gamma-ray burst (GRB) jets can result in a statistical connection between the angle values deduced from jet break times and the variabilities of prompt light curves. The connection should be an anticorrelation if luminosity densities of jets follow a power-law or a uniform profile, and a correlation if they have a Gaussian profile. In this follow-up paper, we search for the connection by measuring Spearman’s rank correlation coefficient in a sample of 19 long GRBs observed by the Swift satellite. Using 16 of the GRBs with well-defined angle measurements, we find ρ=0.38+0.10.1ρ=−0.38−0.1+0.1 and p=0.15+0.140.09p=0.15−0.09+0.14. Adding three more GRBs to the sample, each with a pair of equally possible angle values, can strengthen the anticorrelation to ρ=0.46+0.090.08ρ=−0.46−0.08+0.09 and p=0.05+0.070.03p=0.05−0.03+0.07. We show that these results are incompatible with non-stationary jets having Gaussian profiles, and that ≳100 GRBs with observed afterglows would be needed to confirm the potential existence of the angle-variability anticorrelation with 3σ significance. If the connection is real, GRB jet angles would be constrainable from prompt gamma light curves, without the need of afterglow observations.

Prospects for reconstructing the gravitational-wave signals from core-collapse supernovae with Advanced LIGO-Virgo and the BayesWave algorithm

Journal Paper
Raza, N., McIver, J., Dálya, G., and Raffai, P.
Physical Review D, Vol. 106, Issue 6, aid. 063014
Publication year: 2022

Our current understanding of the core-collapse supernova explosion mechanism is incomplete, with multiple viable models for how the initial shock wave might be energized enough to lead to a successful explosion. Detection of a gravitational-wave signal emitted in the initial few seconds after stellar core-collapse would provide unique and crucial insight into this process. With the Advanced LIGO and Advanced Virgo detectors expected to approach their design sensitivities soon, we could potentially detect this signal from a supernova within our galaxy. In anticipation of such a scenario, we study how well the BayesWave algorithm can recover the gravitational-wave signal from core-collapse supernova models in simulated advanced detector noise, and optimize its ability to accurately reconstruct the signal waveforms. We find that BayesWave can confidently reconstruct the signal from a range of supernova explosion models in Advanced LIGO-Virgo for network signal-to-noise ratios ≳30 , reaching maximum reconstruction accuracies of ∼90 % at SNR ∼100 . For low SNR signals that are not confidently recovered, our optimization efforts result in gains in reconstruction accuracy of up to 20%-40%, with typical gains of ∼10 %.

GLADE+: an extended galaxy catalogue for multimessenger searches with advanced gravitational-wave detectors

Journal Paper
Dálya, G., Díaz, R., Bouchet, F. R., Frei, Z., Jasche, J., Lavaux, G., Macas, R., Mukherjee, S., Pálfi, M., de Souza, R. S., Wandelt, B. D., Bilicki, M., and Raffai, P.
Monthly Notices of the Royal Astronomical Society, Vol. 514, Issue 1, pp. 1403
Publication year: 2022

We present GLADE+, an extended version of the GLADE galaxy catalogue introduced in our previous paper for multimessenger searches with advanced gravitational-wave detectors. GLADE+ combines data from six separate but not independent astronomical catalogues: the GWGC, 2MPZ, 2MASS XSC, HyperLEDA, and WISExSCOSPZ galaxy catalogues, and the SDSS-DR16Q quasar catalogue. To allow corrections of CMB-frame redshifts for peculiar motions, we calculated peculiar velocities along with their standard deviations of all galaxies having B-band magnitude data within redshift z=0.05 using the “Bayesian Origin Reconstruction from Galaxies” formalism. GLADE+ is complete up to luminosity distance dL=47+42 Mpc in terms of the cumulative B-band luminosity of galaxies, and contains all of the brightest galaxies giving half of the total B-band luminosity up to dL250 Mpc. We include estimations of stellar masses and individual binary neutron star merger rates for galaxies with W1 magnitudes in GLADE+. These parameters can help in ranking galaxies in a given gravitational wave localization volume in terms of their likelihood of being hosts, thereby possibly reducing the number of pointings and total integration time needed to find the electromagnetic counterpart.

Estimation of Blooming Start with the Adaptation of the Unified Model for Three Apricot Cultivars (Prunus armeniaca L.) Based on Long-Term Observations in Hungary (1994–2020)

Journal Paper
Mesterházy, I., Raffai, P., Szalay, L., Bozó, L., and Ladányi, M.
Diversity, Vol. 14, Issue 7, p. 560
Publication year: 2022

The aim of our research was to adapt Chuine’s unified model to estimate the beginning of blooming of three apricot cultivars (‘Ceglédi bíborkajszi’, ‘Gönci magyar kajszi’, and ‘Rózsakajszi C.1406’) in Hungary in the time period 1994–2020. The unified model is based on the collection of chilling and forcing units. The complexity of the model lies in the high number of parameters necessary to run it. Following the work of other researchers, we reduced the number of relevant model parameters (MP) to six. In order to estimate the six MPs, we used a simulated annealing optimization method (known for being effective in avoiding getting stuck in local minima). From the results, we determined the local optimum of six MPs, and the global optimum parameter vector for three apricot cultivars. With these global optimum parameter vectors, the beginning of blooming could be estimated with a root-mean-square error (RMSE) of less than 2.5 days, using the knowledge of the daily mean temperature in the time period 1994–2020.

Csillagászat gravitációs hullámokkal

Thesis
Raffai, P.
(in Hungarian), Doctor habilitatus thesis, Eötvös Loránd University, Budapest
Publication year: 2022

A gravitációs hullámok bemutatása középiskolásoknak – 2. rész: A téma tanításának módszertani megfontolásai

Outreach Paper
Molnár András, Raffai Péter
Fizikai Szemle, Vol. 72, Issue 10, pp. 324-330
Publication year: 2022

A gravitációs hullámok bemutatása középiskolásoknak – 1. rész: Nemzetközi példák

Outreach Paper
Molnár András, Raffai Péter
Fizikai Szemle, Vol. 72, Issue 9, pp. 285-291
Publication year: 2022

Bayesian reconstruction of gravitational-wave signals from binary black holes with nonzero eccentricities

Journal Paper
Dálya, G., Raffai, P., and Bécsy, B.
Classical and Quantum Gravity, Vol. 38, n. 6
Publication year: 2021

We present a comprehensive study on how well gravitational-wave signals of binary black holes (BBHs) with nonzero eccentricities can be recovered with state of the art model-independent waveform reconstruction and parameter estimation techniques. For this we use BayesWave, a Bayesian algorithm used by the LIGO–Virgo Collaboration for unmodeled reconstructions of signal waveforms and parameters. We used two different waveform models to produce simulated signals of BBHs with eccentric orbits and embed them in samples of simulated noise of design-sensitivity Advanced LIGO detectors. We studied the network overlaps and point estimates of central moments of signal waveforms recovered by BayesWave as a function of e, the eccentricity of the binary at 8 Hz orbital frequency. BayesWave recovers signals of near-circular (e lesssim 0.2) and highly eccentric (e gsim 0.7) binaries with network overlaps similar to that of circular (e = 0) ones, however it produces lower network overlaps for binaries with e ∈ [0.2, 0.7]. Estimation errors on central frequencies and bandwidths (measured relative to bandwidths) are nearly independent from e, while estimation errors on central times and durations (measured relative to durations) increase and decrease with e above e gsim 0.5, respectively. We also tested how BayesWave performs when reconstructions are carried out using generalized wavelets with linear frequency evolution (chirplets) instead of sine-Gaussian wavelets. We have found that network overlaps improve by ~10–20 percent when chirplets are used, and the improvement is the highest at low (e < 0.5) eccentricities. There is however no significant change in the estimation errors of central moments when the chirplet base is used.

Bayesian reconstruction of gravitational waves from eccentric binary black holes with minimal assumptions

Conference Paper
Bécsy, B., Dálya, G., and Raffai, P.
American Astronomical Society meeting #237, id. 146.06. Bulletin of the American Astronomical Society, Vol. 53, No. 1 e-id 2021n1i146p06
Publication year: 2021

Dynamical formation channels can produce black hole binaries with nonzero eccentricities. Template-based searches by the LIGO-Virgo Collaboration currently do not include templates of such binaries. To detect and characterize these signals one can use algorithms designed for generic gravitational-wave transients. BayesWave is a Bayesian algorithm using sine-Gaussian wavelets for unmodeled reconstructions of signal waveforms and parameters. We present a comprehensive study on how well gravitational-wave signals of binary black holes with nonzero eccentricities are recovered by BayesWave. We used two different waveform models to produce simulated signals of eccentric binary black holes and embedded them in simulated noise of design-sensitivity Advanced LIGO detectors. We studied the network overlaps and point estimates of central moments of signal waveforms recovered by BayesWave as a function of eccentricity.

All-sky search for short gravitational-wave bursts in the third Advanced LIGO and Advanced Virgo run

LSC Paper
Abbott, R., ..., Raffai, P., et al. (+1628 authors)
Physical Review D, Vol. 104, Issue 12, id. 122004
Publication year: 2021

This paper presents the results of a search for generic short-duration gravitational-wave transients in data from the third observing run of Advanced LIGO and Advanced Virgo. Transients with durations of milliseconds to a few seconds in the 24–4096 Hz frequency band are targeted by the search, with no assumptions made regarding the incoming signal direction, polarization or morphology. Gravitational waves from compact binary coalescences that have been identified by other targeted analyses are detected, but no statistically significant evidence for other gravitational wave bursts is found. Sensitivities to a variety of signals are presented. These include updated upper limits on the source rate-density as a function of the characteristic frequency of the signal, which are roughly an order of magnitude better than previous upper limits. This search is sensitive to sources radiating as little as 1010Mc2−10M⊙c2 in gravitational waves at 70 Hz from a distance of 10~kpc, with 50\% detection efficiency at a false alarm rate of one per century. The sensitivity of this search to two plausible astrophysical sources is estimated: neutron star f-modes, which may be excited by pulsar glitches, as well as selected core-collapse supernova models.

A Gravitational-wave Measurement of the Hubble Constant Following the Second Observing Run of Advanced LIGO and Virgo

LSC Paper
Abbott, B. P., ..., Raffai, P., et al. (+1186 authors)
The Astrophysical Journal, Vol. 909, Issue 2, id. 218
Publication year: 2021

This paper presents the gravitational-wave measurement of the Hubble constant (H0) using the detections from the first and second observing runs of the Advanced LIGO and Virgo detector network. The presence of the transient electromagnetic counterpart of the binary neutron star GW170817 led to the first standard-siren measurement of H0. Here we additionally use binary black hole detections in conjunction with galaxy catalogs and report a joint measurement. Our updated measurement is H0 = 69+16869−8+16 km s-1 Mpc-1 (68.3% of the highest density posterior interval with a flat-in-log prior) which is an improvement by a factor of 1.04 (about 4%) over the GW170817-only value of 69+17869−8+17 km s-1 Mpc-1. A significant additional contribution currently comes from GW170814, a loud and well-localized detection from a part of the sky thoroughly covered by the Dark Energy Survey. With numerous detections anticipated over the upcoming years, an exhaustive understanding of other systematic effects are also going to become increasingly important. These results establish the path to cosmology using gravitational-wave observations with and without transient electromagnetic counterparts.

Interpreting gravitational-wave burst detections: constraining source properties without astrophysical models

Journal Paper
Bécsy, B., Raffai, P., Gill, K., Littenberg, T., Millhouse, M., and Szczepanczyk, M.
Classical and Quantum Gravity, Vol. 37, n. 10
Publication year: 2020

We show that for detections of gravitational-wave transients, constraints can be given on physical parameters of the source without using any specific astrophysical models. Relying only on fundamental principles of general relativity, we can set upper limits on the size, mass, and distance of the source solely from characteristics of the observed waveform. If the distance of the source is known from independent (e.g. electromagnetic) observations, we can also set lower limits on the mass and size. As a demonstration, we tested these constraints on binary black hole signals observed by the LIGO and Virgo detectors during their first and second observing runs, as well as on simulated binary black hole and core-collapse supernova signals reconstructed from simulated detector data. We have found that our constraints are valid for all analyzed source types, but their efficiency (namely, how far they are from the true parameter values) strongly depends on the source type, ranging from being in the same order of magnitude to a several orders of magnitude difference. In cases when a gravitational-wave signal is reconstructed without waveform templates and no astrophysical model on the source is available, these constraints provide the only quantitative characterization of the source that can guide the astrophysical modeling process.

GW190814: Gravitational Waves from the Coalescence of a 23 Solar Mass Black Hole with a 2.6 Solar Mass Compact Object

LSC Paper
Abbott, R., ..., Raffai, P., et al. (+1252 authors)
The Astrophysical Journal Letters, Vol. 896, Issue 2, id. L44
Publication year: 2020

We report the observation of a compact binary coalescence involving a 22.2-24.3 M black hole and a compact object with a mass of 2.50-2.67 M (all measurements quoted at the 90% credible level). The gravitational-wave signal, GW190814, was observed during LIGO’s and Virgo’s third observing run on 2019 August 14 at 21:10:39 UTC and has a signal-to-noise ratio of 25 in the three-detector network. The source was localized to 18.5 deg2 at a distance of 241+4145241−45+41 Mpc; no electromagnetic counterpart has been confirmed to date. The source has the most unequal mass ratio yet measured with gravitational waves, 0.112+0.0080.0090.112−0.009+0.008 , and its secondary component is either the lightest black hole or the heaviest neutron star ever discovered in a double compact-object system. The dimensionless spin of the primary black hole is tightly constrained to ≤0.07. Tests of general relativity reveal no measurable deviations from the theory, and its prediction of higher-multipole emission is confirmed at high confidence. We estimate a merger rate density of 1-23 Gpc-3 yr-1 for the new class of binary coalescence sources that GW190814 represents. Astrophysical models predict that binaries with mass ratios similar to this event can form through several channels, but are unlikely to have formed in globular clusters. However, the combination of mass ratio, component masses, and the inferred merger rate for this event challenges all current models of the formation and mass distribution of compact-object binaries.

A statistical method to detect non-stationarities of gamma-ray burst jets

Journal Paper
Budai, A., Raffai, P., Borgulya, B., Dawes, B. A., Szeifert, G., and Varga, V.
Monthly Notices of the Royal Astronomical Society, Vol. 491, Issue 1, p. 1391
Publication year: 2020

We propose a method to detect possible non-stationarities of gamma-ray burst jets. Assuming that the dominant source of variability in the prompt gamma light curve is the non-stationarity of the jet, we show that there should be a connection between the variability measure and the characteristic angle of the jet derived from the jet break time of the afterglow. We carried out Monte Carlo simulations of long gamma-ray burst observations assuming three radial luminosity density profiles for jets and randomizing all burst parameters, and created samples of gamma light curves by simulating jets undergoing Brownian motions with linear restoring forces. We were able to demonstrate that the connection between the variability and the characteristic angle is an anticorrelation in case of uniform and power-law jet profiles, and a correlation in case of a Gaussian profile. We have found that as low as 50 (144) gamma-ray burst observations with jet angle measurements can be sufficient for a 3σ (5σ) detection of the connection. The number of observations required for the detection depends on the underlying jet beam profile, ranging from 50 (144) to 237 (659) for the four specific profile models we tested.

Eccentricity distributions of eccentric binary black holes in galactic nuclei

Journal Paper
Takátsy, J., Bécsy, B., and Raffai, P.
Monthly Notices of the Royal Astronomical Society, Vol. 486, Issue 1, p. 570
Publication year: 2019

Galactic nuclei are expected to be one of the main sites for formations of eccentric binary black holes (EBBHs), with an estimated detection rate of O(1100 yr1) with Advanced LIGO (aLIGO) detectors operating at design sensitivity. Two of the main formation channels of these binaries are gravitational capture and the secular Kozai-Lidov mechanism, with expectedly commensurable formation rates. We used Monte Carlo simulations to construct the eccentricity distributions of EBBHs formed through these channels in galactic nuclei, at the time their gravitational-wave signals enter the aLIGO band at 10 Hz. We have found that the proportion of binary black holes entering the aLIGO band with eccentricities larger than 0.1 is 10 percent for the secular Kozai-Lidov mechanism, and 90 percent for gravitational capture. We show that if future EBBH detection rates with aLIGO will be dominated by EBBHs formed in galactic nuclei, then the proportions of EBBHs formed through the two main channels can be constrained to a ΔF=0.2 wide one-sigma confidence interval with a few tens of observations, even if parameter estimation errors are taken into account at realistic levels.

A Standard Siren Measurement of the Hubble Constant from GW170817 without the Electromagnetic Counterpart

Journal Paper
Fishbach, M., ..., Raffai, P., et al. (+54 authors & The Virgo Collaboration)
The Astrophysical Journal Letters, Vol. 871, Issue 1, aid. L13
Publication year: 2019

We perform a statistical standard siren analysis of GW170817. Our analysis does not utilize knowledge of NGC 4993 as the unique host galaxy of the optical counterpart to GW170817. Instead, we consider each galaxy within the GW170817 localization region as a potential host; combining the redshift from each galaxy with the distance estimate from GW170817 provides an estimate of the Hubble constant, H0. We then combine the H0 values from all the galaxies to provide a final measurement of H0. We explore the dependence of our results on the thresholds by which galaxies are included in our sample, as well as the impact of weighting the galaxies by stellar mass and star-formation rate. Considering all galaxies brighter than 0.01LB as equally likely to host a BNS merger, we find H0=76+4823 km s1 Mpc1 (maximum a posteriori and 68.3% highest density posterior interval; assuming a flat H0prior in the range [10,220] km s1 Mpc1). Restricting only to galaxies brighter than 0.626LB tightens the measurement to H0=77+3718 km s1 Mpc1. We show that weighting the host galaxies by stellar mass or star-formation rate provides entirely consistent results with potentially tighter constraints. While these statistical estimates are inferior to the value from the counterpart standard siren measurement utilizing NGC 4993 as the unique host, H0=76+1913 km s1 Mpc1 (determined from the same publicly available data), our analysis is a proof-of-principle demonstration of the statistical approach first proposed by Bernard Schutz over 30 years ago.

GLADE: A Galaxy Catalogue for Multi-Messenger Searches in the Advanced Gravitational-Wave Detector Era

Journal Paper
Gergely Dálya, Gábor Galgóczi, László Dobos, Zsolt Frei, Ik Siong Heng, Ronaldas Macas, Christopher Messenger, Péter Raffai, Rafael S. de Souza
Monthly Notices of the Royal Astronomical Society, Vol. 479, Issue 2, p. 2374
Publication year: 2018

We introduce a value-added full-sky catalogue of galaxies, named as Galaxy List for the Advanced Detector Era, or GLADE. The purpose of this catalogue is to (i) help identifications of host candidates for gravitational-wave events, (ii) support target selections for electromagnetic follow-up observations of gravitational-wave candidates, (iii) provide input data on the matter distribution of the local universe for astrophysical or cosmological simulations, and (iv) help identifications of host candidates for poorly localised electromagnetic transients, such as gamma-ray bursts observed with the InterPlanetary Network. Both being potential hosts of astrophysical sources of gravitational waves, GLADE includes inactive and active galaxies as well. GLADE was constructed by cross-matching and combining data from five separate (but not independent) astronomical catalogues: GWGC, 2MPZ, 2MASS XSC, HyperLEDA and SDSS-DR12Q. GLADE is complete up to dL=37+3−4 Mpc in terms of the cumulative B-band luminosity of galaxies within luminosity distance dL, and contains all of the brightest galaxies giving half of the total B-band luminosity up to dL=91 Mpc. As B-band luminosity is expected to be a tracer of binary neutron star mergers (currently the prime targets of joint GW+EM detections), our completeness measures can be used as estimations of completeness for containing all binary neutron star merger hosts in the local universe.

Eccentric Black Hole Gravitational-Wave Capture Sources in Galactic Nuclei: Distribution of Binary Parameters

Journal Paper
László Gondán, Bence Kocsis, Péter Raffai, Zsolt Frei
The Astrophysical Journal, Volume 860, Issue 1, aid. 5, 31 pp.
Publication year: 2018

Mergers of binary black holes on eccentric orbits are among the targets for second generation ground-based gravitational-wave detectors. These sources may commonly form in galactic nuclei due to gravitational-wave emission during close flyby events of single objects. We determine the distributions of initial orbital parameters for a population of these gravitational-wave sources. Our results show that the initial dimensionless pericenter distance systematically decreases with the binary component masses and the mass of the central supermassive black hole, and its distribution depend sensitively on the highest possible black hole mass in the nuclear star cluster. For a multi-mass black hole population with masses between 5 Msun and 80 Msun, more than 40% of sources have an eccentricity greater than 0.1 when the gravitational-wave signal reaches 10 Hz or if it forms at higher frequencies, but only 7% of the sources with binary component masses less than 30 Msun remain eccentric at this level near the last stable orbit (LSO). The eccentricity at LSO is typically between 0.005-0.05 for the lower mass BHs, and 0.1-0.2 for the highest mass BHs. Thus, due to the limited low-frequency sensitivity, the currently known six quasicircular LIGO/Virgo sources are compatible with this originally highly eccentric source population. At the design sensitivity of these instruments, the measurement of the eccentricity and mass distribution of merger events may be a useful diagnostic to distinguish among different astrophysical binary formation channels.

Az emberiség új érzékszervei: A gravitációshullám-detektorok

Outreach Paper
Raffai Péter
Természet Világa, 2018/2
Publication year: 2018

Accuracy of Estimating Highly Eccentric Binary Black Hole Parameters with Gravitational-wave Detections

Journal Paper
László Gondán, Bence Kocsis, Péter Raffai, Zsolt Frei
The Astrophysical Journal, Volume 855, Issue 1, article id. 34, 26 pp.
Publication year: 2018

Mergers of stellar-mass black holes on highly eccentric orbits are among the targets for ground-based gravitational-wave detectors, including LIGO, VIRGO, and KAGRA. These sources may commonly form through gravitational-wave emission in high velocity dispersion systems or through the secular Kozai-Lidov mechanism in triple systems. Gravitational waves carry information about the binaries’ orbital parameters and source location. Using the Fisher matrix technique, we determine the measurement accuracy with which the LIGO-VIRGO-KAGRA network could measure the source parameters of eccentric binaries using a matched filtering search of the repeated burst and eccentric inspiral phases of the waveform. We account for general relativistic precession and the evolution of the orbital eccentricity and frequency during the inspiral. We find that the signal-to-noise ratio and the parameter measurement accuracy may be significantly higher for eccentric sources than for circular sources. This increase is sensitive to the initial pericenter distance, the initial eccentricity, and component masses. For instance, compared to a 30 Msun-30 Msun non-spinning circular binary, the chirp mass and sky localization accuracy can improve for an initially highly eccentric binary by a factor of ~129 (38) and ~2 (11) assuming an initial pericenter distance of 20 Mtot (10 Mtot).

Target-based optimization of advanced gravitational-wave detector network operations

Journal Paper
Szölgyén, Á., Dálya, G., Gondán, L., and Raffai, P.
Classical and Quantum Gravity, Vol. 34, p. 7
Publication year: 2017

We introduce two novel time-dependent figures of merit for both online and offline optimizations of advanced gravitational-wave (GW) detector network operations with respect to (i) detecting continuous signals from known source locations and (ii) detecting GWs of neutron star binary coalescences from known local galaxies, which thereby have the highest potential for electromagnetic counterpart detection. For each of these scientific goals, we characterize an N-detector network, and all its (N  −  1)-detector subnetworks, to identify subnetworks and individual detectors (key contributors) that contribute the most to achieving the scientific goal. Our results show that aLIGO-Hanford is expected to be the key contributor in 2017 to the goal of detecting GWs from the Crab pulsar within the network of LIGO and Virgo detectors. For the same time period and for the same network, both LIGO detectors are key contributors to the goal of detecting GWs from the Vela pulsar, as well as to detecting signals from 10 high interest pulsars. Key contributors to detecting continuous GWs from the Galactic Center can only be identified for finite time intervals within each sidereal day with either the 3-detector network of the LIGO and Virgo detectors in 2017, or the 4-detector network of the LIGO, Virgo, and KAGRA detectors in 2019–2020. Characterization of the LIGO-Virgo detectors with respect to goal (ii) identified the two LIGO detectors as key contributors. Additionally, for all analyses, we identify time periods within a day when lock losses or scheduled service operations could result with the least amount of signal-to-noise or transient detection probability loss for a detector network.

Search for Gravitational Waves Associated with Gamma-Ray Bursts During the First Advanced LIGO Observing Run and Implications for the Origin of GRB 150906B

LSC Paper
Abbott, B. P., …, Raffai, P., et al. (+934 authors)
The Astrophysical Journal, Vol. 841, Number 2
Publication year: 2017

We present the results of the search for gravitational waves (GWs) associated with γ-ray bursts detected during the first observing run of the Advanced Laser Interferometer Gravitational-Wave Observatory (LIGO). We find no evidence of a GW signal for any of the 41 γ-ray bursts for which LIGO data are available with sufficient duration. For all γ-ray bursts, we place lower bounds on the distance to the source using the optimistic assumption that GWs with an energy of {10}-2{M}⊙ {c}2 were emitted within the 16-500 Hz band, and we find a median 90% confidence limit of 71 Mpc at 150 Hz. For the subset of 19 short/hard γ-ray bursts, we place lower bounds on distance with a median 90% confidence limit of 90 Mpc for binary neutron star (BNS) coalescences, and 150 and 139 Mpc for neutron star-black hole coalescences with spins aligned to the orbital angular momentum and in a generic configuration, respectively. These are the highest distance limits ever achieved by GW searches. We also discuss in detail the results of the search for GWs associated with GRB 150906B, an event that was localized by the InterPlanetary Network near the local galaxy NGC 3313, which is at a luminosity distance of 54 Mpc (z = 0.0124). Assuming the γ-ray emission is beamed with a jet half-opening angle ≤slant 30^\circ , we exclude a BNS and a neutron star-black hole in NGC 3313 as the progenitor of this event with confidence >99%. Further, we exclude such progenitors up to a distance of 102 Mpc and 170 Mpc, respectively.

Parameter Estimation for Gravitational-wave Bursts with the BayesWave Pipeline

Journal Paper
Bécsy, B., Raffai, P., Cornish, N. J., et al. (+6 authors)
The Astrophysical Journal, Vol. 839, Number 1
Publication year: 2017

We provide a comprehensive multi-aspect study on the performance of a pipeline used by the LIGO-Virgo Collaboration for estimating parameters of gravitational-wave bursts. We add simulated signals with four different morphologies (sine-Gaussians, Gaussians, white-noise bursts, and binary black hole signals) to simulated noise samples representing noise of the two Advanced LIGO detectors during their first observing run. We recover them with the BayesWave (BW) pipeline to study its accuracy in sky localization, waveform reconstruction, and estimation of model-independent waveform parameters. BW localizes sources with a level of accuracy comparable for all four morphologies, with the median separation of actual and estimated sky locations ranging from 25.1 to 30.3. This is a reasonable accuracy in the two-detector case, and is comparable to accuracies of other localization methods studied previously. As BW reconstructs generic transient signals with sine-Gaussian wavelets, it is unsurprising that BW performs the best in reconstructing sine-Gaussian and Gaussian waveforms. BW’s accuracy in waveform reconstruction increases steeply with network signal-to-noise ratio (SNRnet), reaching a 85% and 95% match between the reconstructed and actual waveform below SNRnet20 and SNRnet50, respectively, for all morphologies. BW’s accuracy in estimating central moments of waveforms is only limited by statistical errors in the frequency domain, and is affected by systematic errors too in the time domain as BW cannot reconstruct low-amplitude parts of signals overwhelmed by noise. The figures of merit we introduce can be used in future characterizations of parameter estimation pipelines.

Összeütköző neutroncsillagok – a többcsatornás csillagászat forradalma

Outreach Paper
Bécsy Bence, Dálya Gergely, Raffai Péter
Meteor, Vol. 47, Issue 12
Publication year: 2017

Multi-messenger Observations of a Binary Neutron Star Merger

LSC Paper
Abbott, B. P., ... Raffai, P., et al. (+3619 authors)
The Astrophysical Journal Letters, Vol. 848, aid. L12
Publication year: 2017

On 2017 August 17 a binary neutron star coalescence candidate (later designated GW170817) with merger time 12:41:04 UTC was observed through gravitational waves by the Advanced LIGO and Advanced Virgo detectors. The Fermi Gamma-ray Burst Monitor independently detected a gamma-ray burst (GRB 170817A) with a time delay of $\sim 1.7\,{\rm{s}}$ with respect to the merger time. From the gravitational-wave signal, the source was initially localized to a sky region of 31 deg2 at a luminosity distance of ${40}_{-8}^{+8}$ Mpc and with component masses consistent with neutron stars. The component masses were later measured to be in the range 0.86 to 2.26 $\,{M}_{\odot }$. An extensive observing campaign was launched across the electromagnetic spectrum leading to the discovery of a bright optical transient (SSS17a, now with the IAU identification of AT 2017gfo) in NGC 4993 (at $\sim 40\,{\rm{Mpc}}$) less than 11 hours after the merger by the One-Meter, Two Hemisphere (1M2H) team using the 1 m Swope Telescope. The optical transient was independently detected by multiple teams within an hour. Subsequent observations targeted the object and its environment. Early ultraviolet observations revealed a blue transient that faded within 48 hours. Optical and infrared observations showed a redward evolution over ~10 days. Following early non-detections, X-ray and radio emission were discovered at the transient’s position $\sim 9$ and $\sim 16$ days, respectively, after the merger. Both the X-ray and radio emission likely arise from a physical process that is distinct from the one that generates the UV/optical/near-infrared emission. No ultra-high-energy gamma-rays and no neutrino candidates consistent with the source were found in follow-up searches. These observations support the hypothesis that GW170817 was produced by the merger of two neutron stars in NGC 4993 followed by a short gamma-ray burst (GRB 170817A) and a kilonova/macronova powered by the radioactive decay of r-process nuclei synthesized in the ejecta.

A Statistical Method for Detecting Gravitational Recoils of Supermassive Black Holes in Active Galactic Nuclei

Conference Paper
Raffai, P., Bécsy, B., Haiman, Z., Frei, Z.
New Frontiers in Black Hole Astrophysics, Proceedings of the International Astronomical Union, IAU Symposium, Volume 324, pp. 227-230
Publication year: 2017

We propose an observational test for gravitationally recoiling supermassive black holes in active galactic nuclei, based on a positive correlation between the velocities of black holes relative to their host galaxies, |Δv|, and their obscuring dust column densities, Σdust, both measured along the line of sight. Our findings using a set of toy models implemented to a Monte Carlo simulation imply that models of the galactic centre and of recoil dynamics can be tested by future observations of the potential Σdust-|Δv| correlation. We have also found that the fraction of obscured quasars decreases with |Δv|, for which the predicted trend can be compared to the observed fraction of type II quasars, and can further test combinations of models we may implement.

A gravitational-wave standard siren measurement of the Hubble constant

LSC Paper
Abbott, B. P., … Raffai, P., et al. (+1312 authors)
Nature, doi:10.1038/nature24471
Publication year: 2017

The detection of GW170817 (ref. 1) heralds the age of gravitational-wave multi-messenger astronomy, with the observations of gravitational-wave and electromagnetic emission from the same transient source. On 17 August 2017 the network of Advanced Laser Interferometer Gravitational-wave Observatory (LIGO)2 and Virgo3 detectors observed GW170817, a strong signal from the merger of a binary neutron-star system. Less than two seconds after the merger, a γ-ray burst event, GRB 170817A, was detected consistent with the LIGO–Virgo sky localization region4–6). The sky region was subsequently observed by optical astronomy facilities7, resulting in the identification of an optical transient signal within about 10 arcseconds of the galaxy NGC 4993 (refs 8–13). GW170817 can be used as a standard siren14–18, combining the distance inferred purely from the gravitational-wave signal with the recession velocity arising from the electromagnetic data to determine the Hubble constant. This quantity, representing the local expansion rate of the Universe, sets the overall scale of the Universe and is of fundamental importance to cosmology. Our measurements do not require any form of cosmic ‘distance ladder’19; the gravitational-wave analysis directly estimates the luminosity distance out to cosmological scales. Here we report H0 =   kilometres per second per megaparsec, which is consistent with existing measurements20,21, while being completely independent of them.

Interferométerekkel a gravitációs hullámok nyomában

Outreach Paper
Bécsy Bence, Dálya Gergely, Raffai Péter
Természet Világa, Vol. 147., Issue 3.
Publication year: 2016

Einstein 1915-ben közölte korszakalkotó elméletét, az általános relativitáselméletet. Ezt a gravitáció újszerű leírását adó elméletet az elmúlt egy évszázad alatt számtalan alkalommal tesztelték különböző kísérletekkel, és mindmáig helyesnek bizonyult. Az elmélet utolsónak bizonyított olyan jóslata, amit maga Einstein tett, az a gravitációs hullámok létezése. A gravitációs hullámok első közvetlen detektálása éppen száz évvel az általános relativitáselmélet megszületése után, 2015 szeptemberében történt, amelyet 2016. február 11-én jelentett be sajtótájékoztatóján a felfedezést jegyző LIGO és VIRGO kollaboráció. Jelen cikkben betekintést nyújtunk a gravitációs hullámok világába.

GW150914: először hallottuk az Univerzum zenéjét

Outreach Paper
Dálya Gergely, Bécsy Bence, Raffai Péter
Meteor, Vol. XLVI., Issue 3. (480.)
Publication year: 2016

A LIGO-Virgo nemzetközi kollaboráció 2015. február 11-én tartott sajtótájékoztatóján bejelentette, hogy sikerült gravitációs hullámokat detektálniuk. Ebben a cikkben áttekintjük, hogy hogyan történt a felfedezés, mit is detektáltak pontosan, és hogy mi ennek a jelentősége.

All-sky search for long-duration gravitational wave transients with initial LIGO

LSC Paper
Abbott, B. P., … Raffai, P., et al. (+934 authors)
Physical Review D, Vol. 93, Issue 4, id. 042005
Publication year: 2016

We present the results of a search for long-duration gravitational wave transients in two sets of data collected by the LIGO Hanford and LIGO Livingston detectors between November 5, 2005 and September 30, 2007, and July 7, 2009 and October 20, 2010, with a total observational time of 283.0 days and 132.9 days, respectively. The search targets gravitational wave transients of duration 10-500 s in a frequency band of 40-1000 Hz, with minimal assumptions about the signal waveform, polarization, source direction, or time of occurrence. All candidate triggers were consistent with the expected background; as a result we set 90% confidence upper limits on the rate of long-duration gravitational wave transients for different types of gravitational wave signals. For signals from black hole accretion disk instabilities, we set upper limits on the source rate density between 3.4 ×1 0-5 and 9.4 ×1 0-4 Mpc-3 yr-1 at 90% confidence. These are the first results from an all-sky search for unmodeled long-duration transient gravitational waves.

A statistical method to search for recoiling supermassive black holes in active galactic nuclei

Journal Paper
Raffai, P., Haiman, Z., and Frei Z.
Monthly Notices of the Royal Astronomical Society, Vol. 455, p. 484
Publication year: 2016

We propose an observational test for gravitationally recoiling supermassive black holes (BHs) in active galactic nuclei, based on a correlation between the velocities of BHs relative to their host galaxies, |Δv|, and their obscuring dust column densities, Σdust (both measured along the line of sight). We use toy models for the distribution of recoil velocities, BH trajectories, and the geometry of obscuring dust tori in galactic centres, to simulate 2.5 × 105 random observations of recoiling quasars. BHs with recoil velocities comparable to the escape velocity from the galactic centre remain bound to the nucleus, and do not fully settle back to the centre of the torus due to dynamical friction in a typical quasar lifetime. We find that |Δv| and Σdust for these BHs are positively correlated. For obscured (Σdust > 0) and for partially obscured (0 < Σdust ≲ 2.3 g m-2) quasars with |Δv| ≥ 45 km s-1, the sample correlation coefficient between log10(|Δv|) and Σdust is r45 = 0.28 ± 0.02 and r45 = 0.13 ± 0.02, respectively. Allowing for random ± 100 km s– 1 errors in |Δv| unrelated to the recoil dilutes the correlation for the partially obscured quasars to r45 = 0.026 ± 0.004 measured between |Δv| and Σdust. A random sample of ≳ 3500 obscured quasars with |Δv| ≥ 45 km s-1would allow rejection of the no-correlation hypothesis with 3σ significance 95 per cent of the time. Finally, we find that the fraction of obscured quasars, {F_obs} (|Δv|), decreases with |Δv| from {F_obs} (<10 km s-1) ≳ 0.8 to {F_obs} (>103 km s-1) ≲ 0.4. This predicted trend can be compared to the observed fraction of type II quasars, and can further test combinations of recoil, trajectory, and dust torus models.

Global Optimization for Future Gravitational Wave Detectors' Sites

Journal Paper
Hu, Y., Raffai, P., Gondán, L., et al. (+5 authors)
Classical and Quantum Gravity, Vol. 32, p. 105010
Publication year: 2015

We consider the optimal site selection of future generations of gravitational wave (GW) detectors. Previously, Raffai et al optimized a two-detector network with a combined figure of merit (FoM). This optimization was extended to networks with more than two detectors in a limited way by first fixing the parameters of all other component detectors. In this work we now present a more general optimization that allows the locations of all detectors to be simultaneously chosen. We follow the definition of Raffai et al on the metric that defines the suitability of a certain detector network. Given the locations of the component detectors in the network, we compute a measure of the network’s ability to distinguish the polarization, constrain the sky localization and reconstruct the parameters of a GW source. We further define the ‘flexibility index’ for a possible site location, by counting the number of multi-detector networks with a sufficiently high FoM that include that site location. We confirm the conclusion of Raffai et al, that in terms of the flexibility index as defined in this work, Australia hosts the best candidate site to build a future generation GW detector. This conclusion is valid for either a three-detector network or a five-detector network. For a three-detector network, site locations in Northern Europe display a comparable flexibility index to sites in Australia. However, for a five-detector network, Australia is found to be a clearly better candidate than any other location.

Concepts and research for future detectors

Conference Paper
Acernese F., …, Raffai P., et al.
General Relativity and Gravitation, Vol. 46, p. 1700
Publication year: 2014

Technologies, design aspects and recent progresses for future gravitational wave (GW) detectors are mentioned in this summary of the C4 session of the Amaldi 10 conference.

Search for long-lived gravitational-wave transients coincident with long gamma-ray bursts

LSC Paper
Aasi, J., … Raffai, P., et al. (+875 authors)
Physical Review D, Vol. 88, Issue 12, p. 122004
Publication year: 2013

Long gamma-ray bursts (GRBs) have been linked to extreme core-collapse supernovae from massive stars. Gravitational waves (GW) offer a probe of the physics behind long GRBs. We investigate models of long-lived (˜10-1000s) GW emission associated with the accretion disk of a collapsed star or with its protoneutron star remnant. Using data from LIGO’s fifth science run, and GRB triggers from the Swift experiment, we perform a search for unmodeled long-lived GW transients. Finding no evidence of GW emission, we place 90% confidence-level upper limits on the GW fluence at Earth from long GRBs for three waveforms inspired by a model of GWs from accretion disk instabilities. These limits range from F<3.5ergscm-2 to F<1200ergscm-2, depending on the GRB and on the model, allowing us to probe optimistic scenarios of GW production out to distances as far as ≈33Mpc. Advanced detectors are expected to achieve strain sensitivities 10× better than initial LIGO, potentially allowing us to probe the engines of the nearest long GRBs.

Optimal networks of future gravitational-wave telescopes

Journal Paper
Raffai, P., Gondán, L., Heng, I. S., et al. (+4 authors)
Classical and Quantum Gravity, Vol. 30, p. 155004
Publication year: 2013

We aim to find the optimal site locations for a hypothetical network of 1-3 triangular gravitational-wave telescopes. We define the following N-telescope figures of merit (FoMs) and construct three corresponding metrics: (a) capability of reconstructing the signal polarization; (b) accuracy in source localization; and (c) accuracy in reconstructing the parameters of a standard binary source. We also define a combined metric that takes into account the three FoMs with practically equal weight. After constructing a geomap of possible telescope sites, we give the optimal 2-telescope networks for the four FoMs separately in example cases where the location of the first telescope has been predetermined. We found that based on the combined metric, placing the first telescope to Australia provides the most options for optimal site selection when extending the network with a second instrument. We suggest geographical regions where a potential second and third telescope could be placed to get optimal network performance in terms of our FoMs. Additionally, we use a similar approach to find the optimal location and orientation for the proposed LIGO-India detector within a five-detector network with Advanced LIGO (Hanford), Advanced LIGO (Livingston), Advanced Virgo, and KAGRA. We found that the FoMs do not change greatly in sites within India, though the network can suffer a significant loss in reconstructing signal polarizations if the orientation angle of an L-shaped LIGO-India is not set to the optimal value of ~58.2°( + k × 90°) (measured counterclockwise from East to the bisector of the arms).

Detecting long-duration narrow-band gravitational wave transients associated with soft gamma repeater quasiperiodic oscillations

Journal Paper
Murphy, D., Tse, M., Raffai, P., et al. (+6 authors)
Physical Review D, Vol. 87, Issue 10, p. 103008
Publication year: 2013

We have performed an in-depth concept study of a gravitational wave data analysis method which targets repeated long quasimonochromatic transients (triggers) from cosmic sources. The algorithm concept can be applied to multitrigger data sets in which the detector-source orientation and the statistical properties of the data stream change with time, and does not require the assumption that the data is Gaussian. Reconstructing or limiting the energetics of potential gravitational wave emissions associated with quasiperiodic oscillations observed in the x-ray lightcurve tails of soft gamma repeater flares might be an interesting endeavor of the future. Therefore we chose this in a simplified form to illustrate the flow, capabilities, and performance of the method. We investigate performance aspects of a multitrigger based data analysis approach by using O(100s) long stretches of mock data in coincidence with the times of observed quasiperiodic oscillations, and by using the known sky location of the source. We analytically derive the probability density function of the background distribution and compare to the results obtained by applying the concept to simulated Gaussian noise, as well as off-source playground data collected by the 4-km Hanford detector during LIGO’s fifth science run (S5). We show that the transient glitch rejection and adaptive differential energy comparison methods we apply succeed in rejecting outliers in the fifth science run background data. Finally, we discuss how to extend the method to a network containing multiple detectors, and as an example, tune the method to maximize sensitivity to soft gamma repeater 1806-20 flare times.

The Advanced LIGO Timing System Timing Comparator/Radio Frequency Counter Module

LIGO Document
Raffai, P., Belopolski, I., Countryman, S., et al. (+2 authors)
LIGO Document T1200331
Publication year: 2012

Swift Follow-up Observations of Candidate Gravitational-wave Transient Events

LSC Paper
Evans, P. A., … Raffai, P., et al. (+814 authors)
The Astrophysical Journal Supplement, Vol. 203, Issue 2, p. 14
Publication year: 2012

We present the first multi-wavelength follow-up observations of two candidate gravitational-wave (GW) transient events recorded by LIGO and Virgo in their 2009-2010 science run. The events were selected with low latency by the network of GW detectors (within less than 10 minutes) and their candidate sky locations were observed by the Swift observatory (within 12 hr). Image transient detection was used to analyze the collected electromagnetic data, which were found to be consistent with background. Off-line analysis of the GW data alone has also established that the selected GW events show no evidence of an astrophysical origin; one of them is consistent with background and the other one was a test, part of a “blind injection challenge.” With this work we demonstrate the feasibility of rapid follow-ups of GW transients and establish the sensitivity improvement joint electromagnetic and GW observations could bring. This is a first step toward an electromagnetic follow-up program in the regime of routine detections with the advanced GW instruments expected within this decade. In that regime, multi-wavelength observations will play a significant role in completing the astrophysical identification of GW sources. We present the methods and results from this first combined analysis and discuss its implications in terms of sensitivity for the present and future instruments.

Multimessenger Sources of Gravitational Waves and High-energy Neutrinos: Science Reach and Analysis Method

Conference Paper
Baret, B., I. Bartos, B. Bouhou, E. Chassande-Mottin, A. Corsi, I. Di Palma, C. Donzaud, M. Drago, C. Finley, G. Jones, S. Klimenko, A. Kouchner, S. Márka, Z. Márka, L. Moscoso, M. A. Papa, T. Pradier, G. Prodi, P. Raffai, V. Re, J. Rollins, F. Salemi, P. Sutton, M. Tse, V. Van Elewyck and G. Vedovato
Journal of Physics: Conference Series, Vol. 363, Issue 1, p. 012022
Publication year: 2012

Sources of gravitational waves are often expected to be observable through several messengers, such as gamma-rays, X-rays, optical, radio, and/or neutrino emission. The simultaneous observation of electromagnetic or neutrino emission with a gravitational-wave signal could be a crucial aspect for the first direct detection of gravitational waves. Furthermore, combining gravitational waves with electromagnetic and neutrino observations will enable the extraction of scientific insight that was hidden from us before. We discuss the method that enables the joint search with the LIGO-Virgo-IceCube-ANTARES global network, as well as its methodology, science reach, and outlook for the next generation of gravitational-wave detectors.

Multimessenger science reach and analysis method for common sources of gravitational waves and high-energy neutrinos

Journal Paper
Baret, B., Bartos, … Raffai, P., et al. (+23 authors)
Physical Review D, Vol. 35, Issue 10, p. 103004
Publication year: 2012

We present the baseline multimessenger analysis method for the joint observations of gravitational waves (GW) and high-energy neutrinos (HEN), together with a detailed analysis of the expected science reach of the joint search. The analysis method combines data from GW and HEN detectors, and uses the blue-luminosity-weighted distribution of galaxies. We derive expected GW+HEN source rate upper limits for a wide range of source parameters covering several emission models. Using published sensitivities of externally triggered searches, we derive joint upper limit estimates both for the ongoing analysis with the initial LIGO-Virgo GW detectors with the partial IceCube detector (22 strings) HEN detector and for projected results to advanced LIGO-Virgo detectors with the completed IceCube (86 strings). We discuss the constraints these upper limits impose on some existing GW+HEN emission models.

Implementation and testing of the first prompt search for gravitational wave transients with electromagnetic counterparts

LSC Paper
Abadie, J., … Raffai, P., et al. (+813 authors)
Astronomy & Astrophysics, Vol. 539, p. A124
Publication year: 2012

Aims: A transient astrophysical event observed in both gravitational wave (GW) and electromagnetic (EM) channels would yield rich scientific rewards. A first program initiating EM follow-ups to possible transient GW events has been developed and exercised by the LIGO and Virgo community in association with several partners. In this paper, we describe and evaluate the methods used to promptly identify and localize GW event candidates and to request images of targeted sky locations.
Methods: During two observing periods (Dec. 17, 2009 to Jan. 8, 2010 and Sep. 2 to Oct. 20, 2010), a low-latency analysis pipeline was used to identify GW event candidates and to reconstruct maps of possible sky locations. A catalog of nearby galaxies and Milky Way globular clusters was used to select the most promising sky positions to be imaged, and this directional information was delivered to EM observatories with time lags of about thirty minutes. A Monte Carlo simulation has been used to evaluate the low-latency GW pipeline’s ability to reconstruct source positions correctly.
Results: For signals near the detection threshold, our low-latency algorithms often localized simulated GW burst signals to tens of square degrees, while neutron star/neutron star inspirals and neutron star/black hole inspirals were localized to a few hundred square degrees. Localization precision improves for moderately stronger signals. The correct sky location of signals well above threshold and originating from nearby galaxies may be observed with ~50% or better probability with a few pointings of wide-field telescopes.

Application of interferometric gravitational-wave detectors in astrophysics and gravity research

Thesis
Raffai, P.
(in Hungarian), Ph.D. thesis, Eötvös Loránd University, Budapest
Publication year: 2012

Opportunity to Test non-Newtonian Gravity Using Interferometric Sensors with Dynamic Gravity Field Generators

Journal Paper
Raffai, P., Szeifert, G., Matone, L., et al. (+5 authors)
Physical Review D, Vol. 84, Issue 8, p. 082002
Publication year: 2011

We present an experimental opportunity for the future to measure possible violations to Newton’s 1/r2 law in the 0.1-10 m range using dynamic gravity field generators (DFG) and taking advantage of the exceptional sensitivity of modern interferometric techniques. The placement of a DFG in proximity to one of the interferometer’s suspended test masses generates a change in the local gravitational field that can be measured at a high signal to noise ratio. The use of multiple DFGs in a null-experiment configuration allows us to test composition-independent non-Newtonian gravity significantly beyond the present limits. Advanced and third-generation gravitational-wave detectors are representing the state-of-the-art in interferometric distance measurement today, therefore, we illustrate the method through their sensitivity to emphasize the possible scientific reach. Nevertheless, it is expected that due to the technical details of gravitational-wave detectors, DFGs shall likely require dedicated custom-configured interferometry. However, the sensitivity measure we derive is a solid baseline indicating that it is feasible to consider probing orders of magnitude into the pristine parameter well beyond the present experimental limits significantly cutting into the theoretical parameter space.

Long gravitational-wave transients and associated detection strategies for a network of terrestrial interferometers

Journal Paper
Thrane, E., Kandhasamy, S., … Raffai, P., et al. (+10 authors)
Physical Review D, Vol. 83, Issue 8, p. 083004
Publication year: 2011

Searches for gravitational waves (GWs) traditionally focus on persistent sources (e.g., pulsars or the stochastic background) or on transients sources (e.g., compact binary inspirals or core-collapse supernovae), which last for time scales of milliseconds to seconds. We explore the possibility of long GW transients with unknown waveforms lasting from many seconds to weeks. We propose a novel analysis technique to bridge the gap between short O(s) “burst” analyses and persistent stochastic analyses. Our technique utilizes frequency-time maps of GW strain cross power between two spatially separated terrestrial GW detectors. The application of our cross power statistic to searches for GW transients is framed as a pattern recognition problem, and we discuss several pattern-recognition techniques. We demonstrate these techniques by recovering simulated GW signals in simulated detector noise. We also recover environmental noise artifacts, thereby demonstrating a novel technique for the identification of such artifacts in GW interferometers. We compare the efficiency of this framework to other techniques such as matched filtering.

Bounding the time delay between high-energy neutrinos and gravitational-wave transients from gamma-ray bursts

Journal Paper
Baret, B., Bartos, I., … Raffai, P., et al. (+16 authors)
Astroparticle Physics, Vol. 35, Issue 1, p. 1-7
Publication year: 2011

We derive a conservative coincidence time window for joint searches of gravitational-wave (GW) transients and high-energy neutrinos (HENs, with energies ≳100 GeV), emitted by gamma-ray bursts (GRBs). The last are among the most interesting astrophysical sources for coincident detections with current and near-future detectors. We take into account a broad range of emission mechanisms. We take the upper limit of GRB durations as the 95% quantile of the T90‘s of GRBs observed by BATSE, obtaining a GRB duration upper limit of ˜150 s. Using published results on high-energy (>100 MeV) photon light curves for 8 GRBs detected by Fermi LAT, we verify that most high-energy photons are expected to be observed within the first ˜150 s of the GRB. Taking into account the breakout-time of the relativistic jet produced by the central engine, we allow GW and HEN emission to begin up to 100 s before the onset of observable gamma photon production. Using published precursor time differences, we calculate a time upper bound for precursor activity, obtaining that 95% of precursors occur within ˜250 s prior to the onset of the GRB. Taking the above different processes into account, we arrive at a time window of tHEN – tGW ∈ [-500 s, +500 s]. Considering the above processes, an upper bound can also be determined for the expected time window of GW and/or HEN signals coincident with a detected GRB, tGW – tGRB ≈ tHEN– tGRB ∈ [-350 s, +150 s]. These upper bounds can be used to limit the coincidence time window in multimessenger searches, as well as aiding the interpretation of the times of arrival of measured signals.

User’s manual for the Infrasonic Microphone System developed by the Eötvös Gravity Research Group

LIGO Document
Gelencsér, G., Szeifert, G., Raffai, P., et al. (+3 authors)
LIGO Document E1000282
Publication year: 2010

This manual describes the usage of the Infrasonic Microphone System (IsMS), that was developed by the Eötvös Gravity Research Group (EGRG) at Eötvös Loránd University, Budapest, Hungary.

Search for gravitational-wave bursts associated with gamma-ray bursts using data from LIGO Science Run 5 and Virgo Science Run 1

LSC Paper
Abbott, B. P., … Raffai, P., et al. (+664 authors)
The Astrophysical Journal, Vol. 715, p. 1438
Publication year: 2010

We present the results of a search for gravitational-wave bursts (GWBs) associated with 137 gamma-ray bursts (GRBs) that were detected by satellite-based gamma-ray experiments during the fifth LIGO science run and first Virgo science run. The data used in this analysis were collected from 2005 November 4 to 2007 October 1, and most of the GRB triggers were from the Swift satellite. The search uses a coherent network analysis method that takes into account the different locations and orientations of the interferometers at the three LIGO-Virgo sites. We find no evidence for GWB signals associated with this sample of GRBs. Using simulated short-duration (<1 s) waveforms, we set upper limits on the amplitude of gravitational waves associated with each GRB. We also place lower bounds on the distance to each GRB under the assumption of a fixed energy emission in gravitational waves, with a median limit of D ~12 Mpc(E iso GW/0.01 M sun c 2)1/2 for emission at frequencies around 150 Hz, where the LIGO-Virgo detector network has best sensitivity. We present astrophysical interpretations and implications of these results, and prospects for corresponding searches during future LIGO-Virgo runs.

Recovering a spinning inspiralling compact binary waveform immersed in LIGO-like noise with spinning templates

Conference Paper
L. Veréb, Z. Keresztes, P. Raffai, S. Mészáros, L. Á. Gergely
Journal of Physics: Conference Series, Vol. 228, p. 012003
Publication year: 2010

We investigate the recovery chances of highly spinning waveforms immersed in LIGO S5-like noise by performing a matched filtering with 106 randomly chosen spinning waveforms generated with the LAL package. While the masses of the compact binary are reasonably well recovered (slightly overestimated), the same does not hold true for the spins. We show the best fit matches both in the time-domain and the frequency-domain. These encompass some of the spinning characteristics of the signal, but far less than what would be required to identify the astrophysical parameters of the system. An improvement of the matching method is necessary, though may be difficult due to the noisy signal.

LUMIN Expert Shifter Manual

LIGO Document
Raffai, P.
LIGO Document M1000224
Publication year: 2010

The LUMIN Expert shifts started on 11th August 2010. This document provides an overview on the Expert tasks during the shift, useful links, contact info, and hints.

Compact binary waveform recovery from the cross-correlated data of two detectors by matched filtering with spinning templates

Conference Paper
L. Veréb, Z. Keresztes, P. Raffai, Zs. Udvari, M. Tápai, L. Á. Gergely
Journal of Physics: Conference Series, Vol. 243, p. 012008
Publication year: 2010

We investigate whether the recovery chances of highly spinning waveforms by matched filtering with randomly chosen spinning waveforms generated with the LAL package are improved by a cross-correlation of the simulated output of the L1 and H1 LIGO detectors. We find that a properly defined correlated overlap improves the mass estimates and enhaces the recovery of spin angles.

An X-ray source catalog for joint gravitational wave and X-ray observations

LIGO Document
Raffai, P., Handbauer, P.
LIGO Document T1000305
Publication year: 2010

We present a catalog of X-ray radiation sources that are also possible candidates for producing gravitational waves. The purpose of this work is to support X-ray background studies for joint observations using current and future X-ray telescopes (in particular the Swift telescope) and gravitational wave detectors, such as LIGO and Virgo.

Concept Study of Yukawa-like Potential Tests Using Dynamic Gravity Gradients with Interferometric Gravitational Wave Detectors

Conference Paper
P. Raffai, S. Márka, L. Matone and Z. Márka
Proceedings of the Eleventh Marcel Grossmann Meeting on General Relativity, edited by H. Kleinert, R.T. Jantzen and R. Ruffini, World Scientific, Singapore, p. 2382-2385
Publication year: 2008

We present a technique to measure possible violations to Newton’s 1/r2 law using a pair of matched Dynamic gravity Field Generators (DFGs) in a null-experiment and taking advantage of the exceptional sensitivity of modern suspended mass interferometric gravitational wave detectors. The correct placement of the DFGs, i.e. rotating symmetrical two-body masses, in proximity to one of the interferometer’s suspended test masses, allows future tests of composition independent non-Newtonian gravity beyond the present limits. We give our calculation and simulation results in context ofYukawa-like potentials in the 0.5 – 10 meter range.

Inverted Pendulum as Low Frequency Pre-Isolation for Advanced Gravitational Wave Detectors

Journal Paper
Takamori, A., Raffai, P., Márka, S., et al. (+9 authors)
Nuclear Instruments & Methods in Physics Research A, Vol. 582, Issue 2, p. 683-692
Publication year: 2007

We have developed advanced seismic attenuation systems for Gravitational Wave (GW) detectors. The design consists of an Inverted Pendulum (IP) holding stages of Geometrical Anti-Spring Filters (GASF) and pendula, which isolate the test mass suspension from ground noise. The ultra-low-frequency IP suppresses the horizontal seismic noise, while the GASF suppresses the vertical ground vibrations. The three legs of the IP are supported by cylindrical maraging steel flexural joints. The IP can be tuned to very low frequencies by carefully adjusting its load. As a best result, we have achieved an ultra low, ~12 mHz pendulum frequency for the system prototype made for Advanced LIGO (Laser Interferometer Gravitational Wave Observatory). The measured quality factor, Q, of this IP, ranging from Q~2500 (at 0.45 Hz) to Q~2 (at 12 mHz), is compatible with structural damping, and is proportional to the square of the pendulum frequency. Tunable counterweights allow for precise center-of-percussion tuning to achieve the required attenuation up to the first leg internal resonance (~60 Hz for advanced LIGO prototype). All measurements are in good agreement with our analytical models. We therefore expect good attenuation in the low-frequency region, from ~0.1 to ~50 Hz, covering the micro-seismic peak. The extremely soft IP requires minimal control force, which simplifies any needed actuation.

How to find long narrow-band gravitational wave transients with unknown frequency evolution?

Journal Paper
Raffai, P., Frei, Z., Márka, Z., et al. (+1 author)
Classical and Quantum Gravity, Vol. 24, p. S457-S468
Publication year: 2007

We present two general methods, the so-called Locust and the generalized Hough algorithm, to search for narrow-band signals of moderate frequency evolution and limited duration in datastreams of gravitational wave detectors. Some models of long gamma-ray bursts (e.g. van Putten et al 2004 Phys. Rev. D 69 044007) predict narrow-band gravitational wave burst signals of limited duration emitted during the gamma-ray burst event. These types of signals give rise to curling traces of local maxima in the time frequency space that can be recovered via image processing methods (Locust and Hough). Tests of the algorithms in the context of the van Putten model were carried out using injected simulated signals into Gaussian white noise and also into LIGO-like data. The Locust algorithm has the relative advantage of having higher speed and better general sensitivity; however, the generalized Hough algorithm is more tolerant of trace discontinuities. A combination of the two algorithms increases search robustness and sensitivity at the price of execution speed.

Benefits of Artificially Generated Gravity Gradients for Interferometric Gravitational Wave Detectors

Journal Paper
Matone, L., Raffai, P., Márka, S., et al. (+5 authors)
Classical and Quantum Gravity, Vol. 24, p. 2217-2229
Publication year: 2007

We present an approach to experimentally evaluate gravity gradient noise, a potentially limiting noise source in advanced interferometric gravitational wave (GW) detectors. In addition, the method can be used to provide sub-percent calibration in phase and amplitude of modern interferometric GW detectors. Knowledge of calibration to such certainties shall enhance the scientific output of the instruments in case of an eventual detection of GWs. The method relies on a rotating symmetrical two-body mass, a Dynamic gravity Field Generator (DFG). The placement of the DFG in the proximity of one of the interferometer’s suspended test masses generates a change in the local gravitational field detectable with current interferometric GW detectors.

Searching for quasi-monochromatic gravitational-wave signals in time-frequency space

Thesis
Raffai, P.
diploma thesis, Eötvös Loránd University, Budapest
Publication year: 2006

The diploma thesis is in Hungarian.

Gravitációs hullámok kutatása

Outreach Paper
Raffai Péter, Bartos Imre
Középiskolai Matematikai és Fizikai Lapok, 2006. május
Publication year: 2006

Az elektromágneses mérések legígéretesebb kiegészítője, s ezzel a jövő asztrofizikájának legfontosabb, mindezidáig kiaknázatlan információszerzési lehetősége a gravitációs kölcsönhatás kísérleti vizsgálata lehet. Az einsteini általános relativitáselmélet ugyanis már évtizedekkel napjaink előtt megjósolta egy, az elektromágneses hullámokhoz hasonló, ám gravitációs kölcsönhatásból származtatható sugárzás létezését. Hasonlóan az EM-hullámokhoz, e gravitációs hullámok is nagy hatótávolságúak, ami biztosítja, hogy detektálásukkal távoli objektumok, vagy a korai Univerzum tulajdonságait is képesek legyünk feltérképezni. Jóllehet létezésük közvetett úton már bizonyított, direkt kimutatásuk a mai napig várat magára.