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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

Pulsar-timing arrays (PTAs) are in the near future expected to detect a stochastic gravitational-wave background (SGWB) produced by a population of inspiralling super-massive black hole binaries. In this work, we consider a background that…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-20 Gabriela Sato-Polito , Marc Kamionkowski

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 use of pulsars as astrophysical clocks for gravitational wave experiments demands the highest possible timing precision. Pulse times of arrival (TOAs) are limited by stochastic processes that occur in the pulsar itself, along the line…

Pulsar timing arrays (PTAs) are designed to detect the predicted gravitational wave (GW) background produced by a cosmological population of supermassive black hole (SMBH) binaries. In this contribution I review the physics of such GW…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 A. Sesana

Analysis of high-precision timing observations of an array of approx. 20 millisecond pulsars (a so-called "timing array") may ultimately result in the detection of a stochastic gravitational-wave background. The feasibility of such a…

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

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 explore the potential of Pulsar Timing Arrays (PTAs) such as NANOGrav, EPTA, and PPTA to detect the Stochastic Gravitational Wave Background (SGWB) in theories of massive gravity. In General Relativity, the function describing the…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-27 Qiuyue Liang , Mark Trodden

The recent evidence of nanohertz (nHz) gravitational wave (GW) background by pulsar timing array (PTA) collaborations has sparked considerable interest in understanding its astrophysical origins, particularly regarding supermassive black…

High Energy Astrophysical Phenomena · Physics 2025-04-01 Jiming Yu , Zhen Pan

Within the next several years pulsar timing arrays (PTAs) are positioned to detect the stochastic gravitational-wave background (GWB) likely produced by the collection of inspiralling super-massive black holes binaries, and potentially…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Yacine Ali-Haïmoud , Tristan L. Smith , Chiara M. F. Mingarelli

Pulsar timing arrays (PTAs) are essential tools for detecting the stochastic gravitational wave background (SGWB), but their analysis faces significant computational challenges. Traditional methods like Markov-chain Monte Carlo (MCMC)…

Instrumentation and Methods for Astrophysics · Physics 2024-12-30 Bo Liang , Chang Liu , Tianyu Zhao , Minghui Du , Manjia Liang , Ruijun Shi , Hong Guo , Yuxiang Xu , Li-e Qiang , Peng Xu , Wei-Liang Qian , Ziren Luo

Pulsar timing arrays probe isotropic stochastic gravitational wave (GW) backgrounds in the nanohertz band but are insensitive to its parity-violating component. Motivated by recent progress in pulsar polarization arrays, we study the…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Qiuyue Liang , Kimihiro Nomura , Hidetoshi Omiya

To successfully detect gravitational waves with pulsar timing arrays, we need to have a comprehensive understanding of the physical origins and statistical characteristics of the noise in pulse arrival times and identify mitigation methods…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 Yan Wang

Massive black holes are key components of the assembly and evolution of cosmic structures and a number of surveys are currently on-going or planned to probe the demographics of these objects and to gain insight into the relevant physical…

Astrophysics · Physics 2009-11-13 A. Sesana , A. Vecchio , M. Volonteri

In the nanohertz band, the spatial correlations in pulsar timing arrays (PTAs) produced by interfering gravitational waves (GWs) from multiple sources likely deviate from the traditional ones without interference under the assumption of an…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Yu-Mei Wu , Yan-Chen Bi , Qing-Guo Huang

Pulsar timing arrays (PTAs) are sensitive to oscillations in the gravitational potential along the line-of-sight due to ultralight particle pressure. We calculate the probing power of PTAs for ultralight bosons across all frequencies, from…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-12 Caner Unal , Federico R. Urban , Ely D. Kovetz

Complementary to ground-based laser interferometers, pulsar timing array experiments are being carried out to search for nanohertz gravitational waves. Using the world's most powerful radio telescopes, three major international…

Instrumentation and Methods for Astrophysics · Physics 2016-03-16 Xing-Jiang Zhu , Linqing Wen , George Hobbs , Richard N. Manchester , Ryan M. Shannon

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