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Recent pulsar timing array (PTA) analyses show evidence for a gravitational wave background (GWB) with angular correlations consistent with the Hellings-Downs curve. Anisotropies are a key discriminator of the origin of this GWB, as they…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-01 Valerie Domcke , Gabriele Franciolini , Mauro Pieroni

We develop a full-covariance formalism for pulsar timing array(PTA) -- astrometry verlap reduction function (ORF) estimators and use it to forecast graviton-mass constraints from a nanohertz stochastic gravitational-wave background (SGWB).…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Jing-Hong Han , Zhi-Chao Zhao

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

Recent pulsar timing array results, including the NANOGrav 15-year data set, show evidence for a stochastic gravitational-wave background (GWB) in the nanohertz band. We present a Bayesian framework to compare three possible origins: (i) a…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-28 Mengshen Wang , Zuocheng Zhang , Hua Xu

Supermassive black hole -- host galaxy relations are key to the computation of the expected gravitational wave background (GWB) in the pulsar timing array (PTA) frequency band. It has been recently pointed out that standard relations…

Astrophysics of Galaxies · Physics 2016-09-07 A. Sesana , F. Shankar , M. Bernardi , R. K. Sheth

We have considered the propagation of gravitational waves (GW) in de Sitter space time and how a non-zero value of the cosmological constant might affect their detection in pulsar timing arrays (PTA). If {\Lambda} is different from zero…

General Relativity and Quantum Cosmology · Physics 2013-02-28 Domènec Espriu , Daniel Puigdomènech

We present results from an all-sky search for continuous gravitational waves from individual supermassive binary black holes using the third data release (DR3) of the Parkes Pulsar Timing Array (PPTA). Even though we recover a…

A new detection method for gravitational waves (GWs) with ultra-low frequencies ($f_{\rm GW} \lesssim 10^{-10}~{\rm Hz}$), which is much lower than the range of pulsar timing arrays (PTAs), was proposed in Yonemaru et al. (2016). This…

High Energy Astrophysical Phenomena · Physics 2019-05-29 Shinnosuke Hisano , Naoyuki Yonemaru , Hiroki Kumamoto , Keitaro Takahashi

We use the Horizon-AGN cosmological simulation to study the properties of supermassive black hole binaries (MBHBs) contributing most to the gravitational wave background (GWB) signal expected in the pulsar timing array (PTA) band. We…

Blazar OJ 287 is a candidate nanoHertz (nHz) gravitational wave (GW) source. In this article, we investigate the GWs generated by OJ 287 and their potential detection through a pulsar timing array (PTA). First, we obtain the orbit and the…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Jie-Wen Chen , Yang Zhang

The direct detection of Gravitational Waves (GWs) by Pulsar Timing Arrays (PTAs) is very likely within the next decade. While the stochastic GW background is a promising candidate for detection it is also possible that single resolvable…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Justin Ellis

The search for gravitational waves using Pulsar Timing Arrays (PTAs) is a computationally expensive complex analysis that involves source-specific noise studies. As more pulsars are added to the arrays, this stage of PTA analysis will…

High Energy Astrophysical Phenomena · Physics 2022-11-28 Lorenzo Speri , Nataliya K. Porayko , Mikel Falxa , Siyuan Chen , Jonathan R. Gair , Alberto Sesana , Stephen R. Taylor

Pulsar Timing Array (PTA) searches for gravitational waves (GWs) aim to detect a characteristic correlation pattern in the timing residuals of galactic millisecond pulsars. This pattern is described by the PTA overlap reduction function…

General Relativity and Quantum Cosmology · Physics 2025-02-03 Nina Cordes , Andrea Mitridate , Kai Schmitz , Tobias Schröder , Kim Wassner

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…

Transient gravitational waves (aka gravitational wave bursts) within the nanohertz frequency band could be generated by a variety of astrophysical phenomena such as the encounter of supermassive black holes, the kinks or cusps in cosmic…

General Relativity and Quantum Cosmology · Physics 2023-07-13 Heling Deng , Bence Bécsy , Xavier Siemens , Neil J. Cornish , Dustin R. Madison

We assess the detectability of a nanohertz gravitational wave (GW) background with respect to additive red and white noise in the timing of millisecond pulsars. We develop detection criteria based on the cross-correlation function summed…

Astrophysics of Galaxies · Physics 2015-05-28 J. M. Cordes , R. M. Shannon

The recent observation of a common red-noise process in pulsar timing arrays (PTAs) suggests that the detection of nanohertz gravitational waves might be around the corner. However, in order to confidently attribute this red process to…

Instrumentation and Methods for Astrophysics · Physics 2026-03-25 Valentina Di Marco , Andrew Zic , Matthew T. Miles , Daniel J. Reardon , Eric Thrane , Ryan M. Shannon

Milli-second pulsars with highly stable periods can be considered as very precise clocks and can be used for pulsar timing array (PTA) which attempts to detect nanoheltz gravitational waves (GWs) directly. Main sources of nanoheltz GWs are…

High Energy Astrophysical Phenomena · Physics 2021-12-22 Tomonosuke Kikunaga , Shinnosuke Hisano , Hiroki Kumamoto , Keitaro Takahashi

Pulsar timing arrays (PTAs) have recently reported compelling evidence for the presence of a gravitational-wave background signal. Mapping the gravitational-wave background is key to understanding how it is formed, since anisotropy is a…

Instrumentation and Methods for Astrophysics · Physics 2026-01-21 Kathrin Grunthal , David J. Champion , Eric Thrane , Rowina S. Nathan , Michael Kramer , Matthew T. Miles

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