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Pulsar Timing Array (PTA) experiments have entered a new era with evidence for a nanoHertz gravitational wave background (GWB). This review describes the physics of detection, detailing the noise models and cross-correlation techniques…

High Energy Astrophysical Phenomena · Physics 2026-04-01 C. M. F. Mingarelli , J. A. Casey-Clyde , Y. T. Chang , E. Eisenberg , F. Hutchison , N. Khusid , B. Larsen , A. Moran , F. Semenzato , L. Willson , Q. Zheng

Pulsar Timing Array (PTA) observations hinted towards the existence of a stochastic gravitational wave background (SGWB) in the nHz frequency band. Still, the nature of the SGWB signal cannot be confidently inferred from current data, and…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-04 Stanislav Babak , Mikel Falxa , Gabriele Franciolini , Mauro Pieroni

Massive binary black holes (MBBHs) in nearby galactic centers, if any, may be nano-Hertz gravitational wave (GW) sources for pulsar timing arrays (PTAs) to detect. Normally the objective GWs for PTA experiments are approximated as plane…

High Energy Astrophysical Phenomena · Physics 2022-11-04 Xiao Guo , Youjun Lu , Qingjuan Yu

A new detection method for ultra-low frequency gravitational waves (GWs) with a frequency much lower than the observational range of pulsar timing arrays (PTAs) was suggested in Yonemaru et al. (2016). In the PTA analysis, ultra-low…

High Energy Astrophysical Phenomena · Physics 2018-05-02 Naoyuki Yonemaru , Hiroki Kumamoto , Keitaro Takahashi , Sachiko Kuroyanagi

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

In the next decade, the Laser Interferometer Space Antenna (LISA) will detect the coalescence of massive black hole binaries (MBHBs) in the range $[10^4, 10^8] \, \rm M_{\odot}$, up to $z\sim10$. Their gravitational wave (GW) signal is…

High Energy Astrophysical Phenomena · Physics 2022-11-23 A. Mangiagli , C. Caprini , M. Volonteri , S. Marsat , S. Vergani , N. Tamanini , H. Inchauspé

Space-borne gravitational wave (GW) detectors can detect the merger of massive black holes. The early warning and localization of GW events before merging can be used to inform electromagnetic telescopes and conduct multimessenger…

General Relativity and Quantum Cosmology · Physics 2024-06-17 Hong-Yu Chen , Xiang-Yu Lyu , En-Kun Li , Yi-Ming Hu

The space-borne gravitational-wave (GW) detectors will open a new mass and redshift regime, allowing us to observe massive black hole binaries (MBHBs) throughout the Universe. A subset of these systems is expected to produce electromagnetic…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Xue-Ting Zhang , Jonathan Gair , Chris Messenger , Natalia Korsakova , Yi-Ming Hu , Hong-Yu Chen

The recently observed chirping signature in the light curves of Seyfert 1 galaxy SDSSJ1430$+$2303 could be explained by a late-inspiralling supermassive binary black hole (SMBBH) system in the galactic center, which will merge in the near…

High Energy Astrophysical Phenomena · Physics 2022-04-11 Jie-Wen Chen , Yiqiu Ma , Yan Wang

There may exist stellar-mass binary black holes (BBH) which merge while orbiting nearby a supermassive black hole (SMBH). In such a triple system, the SMBH will modulate the gravitational waveform of the BBH through orbital Doppler shift…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Andrew Laeuger , Brian Seymour , Yanbei Chen , Hang Yu

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

The formation and growth processes of supermassive black holes (SMBHs) are not well constrained. SMBH population models, however, provide specific predictions for the properties of the gravitational-wave background (GWB) from binary SMBHs…

Pulsars are some of the most accurate clocks found in nature, while black holes offer a unique arena for the study of quantum gravity. As such, pulsar-black hole (PSR-BH) binaries provide ideal astrophysical systems for detecting the…

High Energy Physics - Theory · Physics 2017-03-27 John Estes , Michael Kavic , Matthew Lippert , John H. Simonetti

Gravitational waves (GWs) at ultra-low frequencies (${\lesssim 100\,\mathrm{nHz}}$) are key to understanding the assembly and evolution of astrophysical black hole (BH) binaries with masses $\sim 10^{6}-10^{9}\,M_\odot$ at low redshifts.…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-26 Christopher J. Moore , Alberto Vecchio

State-of-the-art searches for gravitational waves (GWs) in pulsar timing array (PTA) datasets model the signal as an isotropic, Gaussian and stationary process described by a power-law. In practice, none of these properties are expected to…

High Energy Astrophysical Phenomena · Physics 2024-03-25 Serena Valtolina , Golam Shaifullah , Anuradha Samajdar , Alberto Sesana

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

In this paper, we study gravitational-wave (GW) emission from a hypothetical supermassive black-hole (SMBH) binary at the center of M87. The existence of a SMBH other than that usually identified with the central AGN is a possible…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-11 Naoyuki Yonemaru , Hiroki Kumamoto , Sachiko Kuroyanagi , Keitaro Takahashi , Joseph Silk

The recent detection of a common-spectrum stochastic signal by multiple pulsar timing array (PTA) collaborations has provided tentative evidence for a nanohertz (nHz) stochastic gravitational-wave background (SGWB). This signal can be…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-22 Mohit Raj Sah , Suvodip Mukherjee

Massive black hole binaries (MBHBs) are binary systems formed by black holes with mass exceeding millions of solar masses, expected to form and evolve in the nuclei of galaxies. The extreme compact nature of such objects determines a loud…

High Energy Astrophysical Phenomena · Physics 2024-06-26 Matteo Bonetti , Alessia Franchini , Bruno Giovanni Galuzzi , Alberto Sesana

Timing observation of pulsars orbiting around a supermassive black hole (SMBH) can measure the spacetime around the SMBH to a high precision and thus be a novel probe of the gravity theory. Future high-frequency surveys of the Galactic…

High Energy Astrophysical Phenomena · Physics 2026-02-24 Zexin Hu , Ziming Wang , Lijing Shao