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The detection of a stochastic gravitational-wave signal from the superposition of many inspiraling supermassive black holes with pulsar timing arrays (PTAs) is likely to occur within the next decade. With this detection will come the…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Laura Sampson , Neil J. Cornish , Sean T. McWilliams

The measurement of pulsar pulse times-of-arrival (ToAs) is a crucial step in detecting low-frequency gravitational waves. To determine ToAs, we can use template-matching to compare each observed pulse profile with a standard template.…

Instrumentation and Methods for Astrophysics · Physics 2024-07-17 J. Wang , J. P. W. Verbiest , G. M. Shaifullah , I. Cognard , L. Guillemot , G. H. Janssen , M. B. Mickaliger , A. Possenti , G. Theureau

In the non-standard model of relic gravitational waves (RGWs) generated in the early universe, the theoretical spectrum of is mainly described by an amplitude $r$ and a spectral index $\beta$, the latter usually being determined by the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Ming-Lei Tong , Yang Zhang , Wen Zhao , Jin-Zhong Liu , Cheng-Shi Zhao , Ting-Gao Yang

Ongoing research on Pulsar Timing Array (PTA) to detect gravitational radiation is reviewed. Here, we discuss the use of millisecond pulsars as a gravitational wave detector, the sources of gravitational radiation detectable by PTAs and the…

Instrumentation and Methods for Astrophysics · Physics 2020-03-23 Pravin Kumar Dahal

Pulsars are very stable clocks in space which have many applications to problems in physics and astrophysics. Observations of double-neutron-star binary systems have given the first observational evidence for the existence of gravitational…

High Energy Astrophysical Phenomena · Physics 2010-04-22 R. N. Manchester

The NANOGrav, Parkes, European, and International Pulsar Timing Array (PTA) Collaborations have reported evidence for a common-spectrum process that can potentially correspond to a stochastic gravitational wave background (SGWB) in the…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-15 Alberto Roper Pol , Chiara Caprini , Andrii Neronov , Dmitri Semikoz

Recent evidence for the stochastic gravitational wave backgorund reported by the pulsar timing arrays (PTA) can be interpreted as a signal from the cosmological phase transition. We use up-to-date models of the gravitational wave power…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-14 T. Boyer , A. Neronov

A "pulsar timing array" (PTA), in which observations of a large sample of pulsars spread across the celestial sphere are combined, allows investigation of "global" phenomena such as a background of gravitational waves or instabilities in…

Posterior predictive p-values (ppps) have become popular tools for Bayesian model assessment, being general-purpose and easy to use. However, interpretation can be difficult because their distribution is not uniform under the hypothesis…

Methodology · Statistics 2024-02-01 Sally Paganin , Perry de Valpine

Supermassive black hole binaries, cosmic strings, relic gravitational waves from inflation, and first order phase transitions in the early universe are expected to contribute to a stochastic background of gravitational waves in the 10^(-9)…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Sydney J. Chamberlin , Jolien D. E. Creighton , Paul B. Demorest , Justin Ellis , Larry R. Price , Joseph D. Romano , Xavier Siemens

With the next generation of both electromagnetic and gravitational wave observatories beginning to come online, rapid analysis methods for kilonova data are becoming increasingly important in astronomy. Traditional Bayesian parameter…

Instrumentation and Methods for Astrophysics · Physics 2026-05-15 Stephanie M. Brown , Mattia Bulla , Hiranya V. Peiris , Nikhil Sarin , Daniel Mortlock , Stephen Thorp , Gurjeet Jagwani , Stephan Rosswog , Samaya Nissanke

A low-frequency gravitational-wave background (GWB) from the cosmic merger history of supermassive black holes is expected to be detected in the next few years by pulsar timing arrays. A GWB induces distinctive correlations in the pulsar…

Instrumentation and Methods for Astrophysics · Physics 2018-10-30 Chiara M. F. Mingarelli , Angelo B. Mingarelli

The millisecond pulsars, old-recycled objects spinning with high frequency $\mathcal{O}$ (kHz) sustaining the deformation from their spherical shape, may emit gravitational waves (GW). These are one of the potential candidates contributing…

General Relativity and Quantum Cosmology · Physics 2023-07-18 Deepali Agarwal , Jishnu Suresh , Vuk Mandic , Andrew Matas , Tania Regimbau

We investigate the use of harmonic analysis techniques to perform measurements of the angular power spectrum on mock pulsar timing data for an isotropic stochastic gravitational-wave background (SGWB) with a dimensionless strain amplitude…

General Relativity and Quantum Cosmology · Physics 2024-09-19 Jonathan Nay , Kimberly K. Boddy , Tristan L. Smith , Chiara M. F. Mingarelli

In 2023, after more than two decades of searching, pulsar timing array (PTA) collaborations around the world announced evidence for a stochastic gravitational wave background. It was quickly followed by work from the International Pulsar…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-18 David Wright , Kalista Wayt , Jeffrey S. Hazboun , Xavier Siemens , Rutger van Haasteren , Levi Schult , Stephen R. Taylor

Pulsar timing arrays (PTAs) are approaching the sensitivity required to resolve gravitational waves (GWs) from individual supermassive black hole (SMBH) binaries. However, the large uncertainty in source localization will make the…

High Energy Astrophysical Phenomena · Physics 2025-08-26 Niccolo Veronesi , Maria Charisi , Stephen R Taylor , Jessie Runnoe , Daniel J D'Orazio

Strong evidence for an isotropic, Gaussian gravitational wave background (GWB) has been found by multiple pulsar timing arrays (PTAs). The GWB is expected to be sourced by a finite population of supermassive black hole binaries (SMBHBs)…

General Relativity and Quantum Cosmology · Physics 2026-05-21 William G. Lamb , Jeremy M. Wachter , Andrea Mitridate , Shashwat C. Sardesai , Bence Bécsy , Emily L. Hagen , Stephen R. Taylor , Luke Zoltan Kelley

We present a parameter estimation framework for gravitational wave (GW) signals that brings together several ideas to accelerate the inference process. First, we use the relative binning algorithm to evaluate the signal-to-noise-ratio…

General Relativity and Quantum Cosmology · Physics 2022-10-31 Tousif Islam , Javier Roulet , Tejaswi Venumadhav

Pulsar timing offers an independent avenue to test general relativity and alternative gravity theories. This requires an understanding of how metric polarizations beyond the familiar transverse tensor ones imprint as a stochastic…

General Relativity and Quantum Cosmology · Physics 2023-02-08 Reginald Christian Bernardo , Kin-Wang Ng

Pulsar Timing Array (PTA) collaborations gather high-precision timing measurements of pulsars with the aim of detecting gravitational wave (GW) signals. A major challenge lies in the identification and characterization of the different…

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