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We thoroughly study the induced gravitational wave interpretation of the possible gravitational wave background reported by PTA collaborations, considering the unknown equation of state $w$ of the early universe. We perform a Bayesian…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-02 Guillem Domènech , Shi Pi , Ao Wang , Jianing Wang

Bayesian methods for the detection of continuous gravitational waves (CGWs) in Pulsar Timing Array (PTA) data incur substantial computational costs that grow rapidly due to the number of noise and signal parameters characterizing the fitted…

Instrumentation and Methods for Astrophysics · Physics 2026-04-10 Yi-Qian Qian , Yan Wang , Soumya D. Mohanty , Siyuan Chen

Evidence of a gravitational wave (GW) signal has emerged in pulsar timing array (PTA) data, opening a new window into the nanoHz GW Universe. We explore the physics of GW signals potentially explaining the data, with a primary focus on GW…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-04 Alberto Sesana , Daniel G. Figueroa

We present a detailed analysis of the International Pulsar Timing Array (IPTA) Second Mock Data Challenge. We tested our analysis methods using the open datasets, and then analyzed the closed datasets. In both the open and the closed…

Instrumentation and Methods for Astrophysics · Physics 2020-01-01 P. T. Baker , P. R. Brook , W. C. Fiore , N. Garver-Daniels , A. R. Kaiser , M. T. Lam , B. J. Shapiro-Albert , C. A. Witt

Pulsar timing arrays (PTAs) are being used to search for very low frequency gravitational waves. A gravitational wave signal appears in pulsar timing residuals through two components: one independent of and one dependent on the pulsar's…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Matthew Pitkin

The astrophysical gravitational wave background in the nanohertz (nHz) band is expected to be primarily composed of the superposition of signals from binaries of supermassive black holes. The spatial discreteness of these sources introduces…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Giulia Cusin , Cyril Pitrou , Martin Pijnenburg , Alberto Sesana

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

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

We consider the sensitivity of the pulsar timing array (PTA) technique to specific kind of narrow-band stochastic signals in nano-Hz frequency range. Specifically, we examine the narrow-band signal produced by oscillating gravitational…

Instrumentation and Methods for Astrophysics · Physics 2014-11-04 Konstantin A. Postnov , Nataliya K. Porayko

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

Several papers have recently calculated the contribution to pulsar timing array overlap reduction functions (ORFs) induced by our peculiar velocity with respect to the rest frame of the stochastic gravitational-wave background. Here we show…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-15 Neha Anil Kumar , Keisuke Inomata , Marc Kamionkowski

Various pulsar timing array (PTA) experiments (NANOGrav, EPTA, PPTA, CPTA, including data from InPTA) very recently reported evidence for excess red common-spectrum signals in their latest datasets, with inter-pulsar correlations following…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-25 Sunny Vagnozzi

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 strong evidence for low-frequency gravitational waves from pulsar timing arrays (PTAs), published in 2023, has widened the scope for teaching about gravitational wave astronomy. This article provides a simple, unified overview of the…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Markus Pössel

One of the imminent science goals of pulsar timing arrays (PTAs) is the detection of a continuous gravitational wave (CGW) emitted by an individual supermassive black hole binary (SMBHB). SMBHBs that cause CGWs with GW frequencies…

High Energy Astrophysical Phenomena · Physics 2026-02-18 Kathrin Grunthal , Nataliya Porayko , David J. Champion , Michael Kramer

Recently, many different pulsar timing array (PTA) collaborations have reported strong evidence for a common stochastic process in their data sets. The reported amplitudes are in tension with previously computed upper limits. In this paper,…

High Energy Astrophysical Phenomena · Physics 2022-06-29 Aaron D. Johnson , Sarah J. Vigeland , Xavier Siemens , Stephen R. Taylor

Super-massive black hole binaries are expected to produce a GW signal in the nano-Hertz frequency band which may be detected by PTAs in the coming years. The signal is composed of both stochastic and individually resolvable components. Here…

Instrumentation and Methods for Astrophysics · Physics 2019-07-17 Janna Goldstein , John Veitch , Alberto Sesana , Alberto Vecchio

The pulsar timing array (PTA) collaborations have recently suggested the presence of a gravitational wave background at nano-Hertz frequencies. In this paper, we explore potential inflationary interpretation of this signal within the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-14 Chengjie Fu , Jing Liu , Xing-Yu Yang , Wang-Wei Yu , Yawen Zhang

Incredible progress on the theoretical uncertainty of the spatial correlations of the stochastic gravitational wave (GW) background were recently made. However, it remains to realize the impact of this theoretical uncertainty on PTA cross…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Reginald Christian Bernardo , Kin-Wang Ng

For pulsar timing arrays (PTAs), the telltale signature of an isotropic stochastic background of gravitational waves is a pattern of pairwise interpulsar timing correlations approximately following the Hellings & Downs (HD) curve. Certain…

Instrumentation and Methods for Astrophysics · Physics 2024-11-01 Dustin R. Madison