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By regularly monitoring the most stable millisecond pulsars over many years, pulsar timing arrays (PTAs) are positioned to detect and study correlations in the timing behaviour of those pulsars. Gravitational waves (GWs) from supermassive…

Space-borne gravitational wave detectors will expand the scope of gravitational wave astronomy to the milli-Hertz band in the near future. The development of data analysis software infrastructure at the current stage is crucial. In this…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Rui Niu , Chang Feng , Wen Zhao

The increasing sensitivities of pulsar timing arrays to ultra-low frequency (nHz) gravitational waves promises to achieve direct gravitational wave detection within the next 5-10 years. While there are many parallel efforts being made in…

High Energy Astrophysical Phenomena · Physics 2015-05-27 C. Messenger , A. Lommen , P. Demorest , S. Ransom

Pulsar timing arrays are sensitive to gravitational wave perturbations produced by individual supermassive black hole binaries during their early inspiral phase. Modified gravity theories allow for the emission of gravitational dipole…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Logan O'Beirne , Neil J. Cornish , Sarah J. Vigeland , Stephen R. Taylor

Folding uncertainty in theoretical models into Bayesian parameter estimation is necessary in order to make reliable inferences. A general means of achieving this is by marginalizing over model uncertainty using a prior distribution…

General Relativity and Quantum Cosmology · Physics 2016-03-04 Christopher J. Moore , Christopher P. L. Berry , Alvin J. K. Chua , Jonathan R. Gair

Gravitational waves from compact binaries measured by the LIGO and Virgo detectors are routinely analyzed using Markov Chain Monte Carlo sampling algorithms. Because the evaluation of the likelihood function requires evaluating millions of…

Instrumentation and Methods for Astrophysics · Physics 2020-12-23 Arnaud Delaunoy , Antoine Wehenkel , Tanja Hinderer , Samaya Nissanke , Christoph Weniger , Andrew R. Williamson , Gilles Louppe

The International Pulsar Timing Array 2nd data release is the combination of datasets from worldwide collaborations. In this study, we search for continuous waves: gravitational wave signals produced by individual supermassive black hole…

General Relativity and Quantum Cosmology · Physics 2023-03-29 M. Falxa , S. Babak , P. T. Baker , B. Bécsy , A. Chalumeau , S. Chen , Z. Chen , N. J. Cornish , L. Guillemot , J. S. Hazboun , C. M. F. Mingarelli , A. Parthasarathy , A. Petiteau , N. S. Pol , A. Sesana , S. B. Spolaor , S. R. Taylor , G. Theureau , M. Vallisneri , S. J. Vigeland , C. A. Witt , X. Zhu , J. Antoniadis , Z. Arzoumanian , M. Bailes , N. D. R. Bhat , L. Blecha , A. Brazier , P. R. Brook , N. Caballero , A. D. Cameron , J. A. Casey-Clyde , D. Champion , M. Charisi , S. Chatterjee , I. Cognard , J. M. Cordes , F. Crawford , H. T. Cromartie , K. Crowter , S. Dai , M. E. DeCesar , P. B. Demorest , G. Desvignes , T. Dolch , B. Drachler , Y. Feng , E. C. Ferrara , W. Fiore , E. Fonseca , N. Garver-Daniels , J. Glaser , B. Goncharov , D. C. Good , J. Griessmeier , Y. J. Guo , K. Gültekin , G. Hobbs , H. Hu , K. Islo , J. Jang , R. J. Jennings , A. D. Johnson , M. L. Jones , J. Kaczmarek , A. R. Kaiser , D. L. Kaplan , M. Keith , L. Z. Kelley , M. Kerr , J. S. Key , N. Laal , M. T. Lam , W. G. Lamb , T. J. W. Lazio , K. Liu , T. Liu , J. Luo , R. S. Lynch , D. R. Madison , R. Main , R. Manchester , A. McEwen , J. McKee , M. A. McLaughlin , C. Ng , D. J. Nice , S. Ocker , K. D. Olum , S. Osłowski , T. T. Pennucci , B. B. P. Perera , D. Perrodin , N. Porayko , A. Possenti , H. Quelquejay-Leclere , S. M. Ransom , P. S. Ray , D. J. Reardon , C. J. Russell , A. Samajdar , J. Sarkissian , L. Schult , G. Shaifullah , R. M. Shannon , B. J. Shapiro-Albert , X. Siemens , J. J. Simon , M. Siwek , T. L. Smith , L. Speri , R. Spiewak , I. H. Stairs , B. Stappers , D. R. Stinebring , J. K. Swiggum , C. Tiburzi , J. Turner , A. Vecchio , J. P. W. Verbiest , H. Wahl , S. Q. Wang , J. Wang , J. Wang , Z. Wu , L. Zhang , S. Zhang

We present a Bayesian parameter-estimation pipeline to measure the properties of inspiralling stellar-mass black hole binaries with LISA. Our strategy (i) is based on the coherent analysis of the three noise-orthogonal LISA data streams,…

High Energy Astrophysical Phenomena · Physics 2021-11-23 Riccardo Buscicchio , Antoine Klein , Elinore Roebber , Christopher J. Moore , Davide Gerosa , Eliot Finch , Alberto Vecchio

Efforts to detect gravitational waves by timing an array of pulsars have focused traditionally on stationary gravitational waves: e.g., stochastic or periodic signals. Gravitational wave bursts --- signals whose duration is much shorter…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 Lee Samuel Finn , Andrea N. Lommen

The coalescence of compact binaries containing neutron stars or black holes is one of the most promising signals for advanced ground-based laser interferometer gravitational-wave detectors, with the first direct detections expected over the…

High Energy Astrophysical Phenomena · Physics 2015-09-02 Simon Stevenson , Frank Ohme , Stephen Fairhurst

We introduce a method for performing a robust Bayesian analysis of non-Gaussianity present in pulsar timing data, simultaneously with the pulsar timing model, and additional stochastic parameters such as those describing red spin noise and…

Instrumentation and Methods for Astrophysics · Physics 2014-09-19 Lindley Lentati , Michael P. Hobson , Paul Alexander

A pulsar timing array is a Galactic-scale detector of nanohertz gravitational waves (GWs). Its target signals contain two components: the `Earth term' and the `pulsar term' corresponding to GWs incident on the Earth and pulsar respectively.…

Instrumentation and Methods for Astrophysics · Physics 2016-07-06 Xingjiang Zhu , Linqing Wen , Jie Xiong , Yanjun Xu , Yan Wang , Soumya D. Mohanty , George Hobbs , Richard N. Manchester

Recent non-detection of gravitational-wave backgrounds from pulsar timing arrays casts further uncertainty on the evolution of supermassive black hole binaries. We study the capabilities of current gravitational-wave observatories to detect…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-14 Pablo A. Rosado , Paul D. Lasky , Eric Thrane , Xingjiang Zhu , Ilya Mandel , Alberto Sesana

An isotropic stochastic background of nanohertz gravitational waves creates excess residual power in pulsar-timing-array datasets, with characteristic inter-pulsar correlations described by the Hellings-Downs function. These correlations…

General Relativity and Quantum Cosmology · Physics 2023-05-25 Sophie Hourihane , Patrick Meyers , Aaron Johnson , Katerina Chatziioannou , Michele Vallisneri

The LIGO and Virgo gravitational-wave observatories have detected many exciting events over the past five years. As the rate of detections grows with detector sensitivity, this poses a growing computational challenge for data analysis. With…

Instrumentation and Methods for Astrophysics · Physics 2020-08-11 Stephen R. Green , Jonathan Gair

The recent announcement of evidence for a stochastic background of gravitational waves (GWB) in pulsar timing array (PTA) data has piqued interest across the scientific community. A combined analysis of all currently available data holds…

Instrumentation and Methods for Astrophysics · Physics 2025-09-01 Serena Valtolina , Rutger van Haasteren

Gravitational waves emitted by a ringing black hole allow us to perform precision tests of general relativity in the strong field regime. With improvements to our current gravitational wave detectors and upcoming next-generation detectors,…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Costantino Pacilio , Swetha Bhagwat , Roberto Cotesta

Gravitational wave (GW) detection is now commonplace and as the sensitivity of the global network of GW detectors improves, we will observe $\mathcal{O}(100)$s of transient GW events per year. The current methods used to estimate their…

Instrumentation and Methods for Astrophysics · Physics 2022-01-21 Hunter Gabbard , Chris Messenger , Ik Siong Heng , Francesco Tonolini , Roderick Murray-Smith

Theoretical studies in gravitational wave astronomy often require the calculation of Fisher Information Matrices and Likelihood functions, which in a direct approach entail the costly step of computing gravitational waveforms. Here I…

General Relativity and Quantum Cosmology · Physics 2013-02-07 Neil J. Cornish

Pulsar timing arrays aim to detect nanohertz-frequency gravitational waves (GWs). A background of GWs modulates pulsar arrival times and manifests as a stochastic process, common to all pulsars, with a signature spatial correlation. Here we…

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