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The nanohertz gravitational wave background (GWB) is expected to be an aggregate signal of an ensemble of gravitational waves emitted predominantly by a large population of coalescing supermassive black hole binaries in the centres of…

The announcement in the summer of 2023 about the discovery of evidence for a gravitational wave background (GWB) using pulsar timing arrays (PTAs) has ignited both the PTA and the larger scientific community's interest in the experiment and…

Instrumentation and Methods for Astrophysics · Physics 2025-04-22 Nima Laal , Stephen R. Taylor , Rutger van Haasteren , William G Lamb , Xavier Siemens

Pulsar timing arrays (PTA) hunt for gravitational waves (GW) by searching for the correlations that GWs induce in the time-of-arrival residuals from different pulsars. If the GW sources are of astrophysical origin, then they are located at…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Bruce Allen , Deepali Agarwal , Joseph D. Romano , Serena Valtolina

We revisit the theoretical modeling and simulation of a Gaussian stochastic gravitational wave background (SGWB) signal in a pulsar timing array (PTA). We show that the correlation between Fourier components of pulsar timing residuals can…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-16 Reginald Christian Bernardo , Kin-Wang Ng

Large-area sky surveys show that massive galaxies undergo at least one major merger in a Hubble time. Ongoing pulsar timing array (PTA) experiments are aimed at measuring the gravitational wave (GW) emission from binary supermassive black…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 V. Ravi , J. S. B. Wyithe , R. M. Shannon , G. Hobbs

Recent observations by pulsar timing arrays indicate the presence of gravitational wave signals, likely from supermassive black hole binaries. These binaries can produce two types of signals: a stochastic gravitational wave background (GWB)…

High Energy Astrophysical Phenomena · Physics 2025-02-12 Irene Ferranti , Golam Shaifullah , Aurelien Chalumeau , Alberto Sesana

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…

The number of known millisecond pulsars has dramatically increased in the last few years. Regular observations of these pulsars may allow gravitational waves with frequencies ~10^-9 Hz to be detected. A ``pulsar timing array'' is therefore…

Astrophysics · Physics 2009-11-10 George Hobbs

Observing non-Gaussianity in the timing residuals of Pulsar Timing Arrays (PTAs) has recently attracted attention as a potential discriminator between astrophysical and cosmological origins of the observed Gravitational Wave (GW) signal. In…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-07 Chiara Cecchini , Jonas El Gammal , Gabriele Franciolini , Mauro Pieroni

Pulsar timing arrays (PTAs) are designed to detect nanohertz-frequency gravitational waves (GWs). Since GWs are anticipated from cosmic strings, PTAs offer a viable approach to testing their existence. We present the results of the first…

The detection of gravitational waves with Pulsar Timing Arrays (PTAs) requires precise measurement of the difference between the pulsars' timing models and their observed pulses, as well as dealing with numerous and sometimes hard to…

High Energy Astrophysical Phenomena · Physics 2025-05-07 Giulia Fumagalli , Golam Shaifullah , Alberto Sesana

Can we estimate the direction of arrival (DOA) of a gravitational wave (GW) signal from pulsar timing array observations? The present paper addresses the inverse problem, for which we consider quadrupole moments of pulsar timings due to GWs…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Taichi Ueyama , Hodaka Tamura , Hideki Asada

The phenomenal rotational stability of millisecond pulsars allows them to be used as precise celestial clocks. An array of these pulsars can be exploited to search for correlated perturbations in their pulse times of arrival due to…

Instrumentation and Methods for Astrophysics · Physics 2014-10-15 M. A. McLaughlin

We present a unified spin-weighted harmonic framework that delivers analytic, diagonal expressions for the overlap (correlation) functions of three low frequency gravitational wave observables-pulsar timing redshifts, astrometric…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-30 Giorgio Mentasti , Carlo R. Contaldi

Pulsar timing array experiments have recently found evidence for a stochastic gravitational wave (GW) background, which induces correlations among pulsar timing residuals described by the Hellings and Downs (HD) curve. Standard calculations…

General Relativity and Quantum Cosmology · Physics 2025-05-23 Nastassia Grimm , Martin Pijnenburg , Giulia Cusin , Camille Bonvin

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

A low frequency stochastic background of gravitational waves may be detected by pulsar timing experiments in the next five to ten years. Using methods developed to analyze interferometric gravitational wave data, in this paper we lay out…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Melissa Anholm , Stefan Ballmer , Jolien D. E. Creighton , Larry R. Price , Xavier Siemens

The null hypothesis in Pulsar Timing Array (PTA) analyses includes assumptions about ensemble properties of pulsar time-correlated noise. These properties are encoded in prior probabilities for the amplitude and the spectral index of the…

High Energy Astrophysical Phenomena · Physics 2025-02-06 Boris Goncharov , Shubhit Sardana

Combining information from weak sources, such as known pulsars, for gravitational wave detection, is an attractive approach to improve detection efficiency. We propose an optimal statistic for a general ensemble of signals and apply it to…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Xilong Fan , Yanbei Chen , Christopher Messenger

Pulsar timing experiments aimed at the detection of gravitational radiation have been performed for decades now. With the forthcoming construction of large arrays capable of tracking multiple millisecond pulsars, it is very likely we will…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Marcio Eduardo da Silva Alves , Massimo Tinto