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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

We examine the nHz gravitational wave (GW) foreground of stars and black holes (BHs) orbiting SgrA* in the Galactic Center. A cusp of stars and BHs generates a continuous GW spectrum below 40 nHz; individual BHs within 1 mpc to SgrA* stick…

Astrophysics of Galaxies · Physics 2015-05-30 Bence Kocsis , Alak Ray , Simon Portegies Zwart

The recently released data by pulsar timing array (PTA) collaborations present strong evidence for a stochastic signal consistent with a gravitational-wave background. Assuming this signal originates from scalar-induced gravitational waves,…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-27 Lang Liu , Zu-Cheng Chen , Qing-Guo Huang

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

Pulsar timing arrays (PTAs) can detect disturbances in the fabric of spacetime on a galactic scale by monitoring the arrival time of pulses from millisecond pulsars (MSPs). Recent advancements have enabled the use of $\gamma$-ray radiation…

High Energy Astrophysical Phenomena · Physics 2024-03-14 Hoang Nhan Luu , Tao Liu , Jing Ren , Tom Broadhurst , Ruizhi Yang , Jie-Shuang Wang , Zhen Xie

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

We study the observation of polarized stochastic gravitational-wave background (SGWB) in pulsar-timing-array experiments. The time residual for an observed pulsar is formulated as a line-of-sight integral that incorporates the effects of…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Yu-Kuang Chu , Guo-Chin Liu , Kin-Wang Ng

Pulsar Timing Arrays (PTAs) are rapidly advancing toward the detection of continuous gravitational waves from individual supermassive binary black holes. While it is well established that coherently utilizing the ``pulsar term" requires…

Astrophysics of Galaxies · Physics 2026-04-30 Chao-Fan Wen , Yi-Qin Chen , Shi-Yi Zhao , Hao Ding , Xingjiang Zhu

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

Gravitational waves perturb the paths of photons, impacting both the time-of-flight and the arrival direction of light from stars. Pulsar timing arrays can detect gravitational waves by measuring the variations in the time of flight of…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Logan O'Beirne , Neil J. Cornish

We probe ultra-low-frequency gravitational waves (GWs) with statistics of spin-down rates of milli-second pulsars (MSPs) by a method proposed in our prevous work (Yonemaru et al. 2016). The considered frequency range is $10^{-12}{\rm Hz}…

High Energy Astrophysical Phenomena · Physics 2019-10-01 Hiroki Kumamoto , Yuya Imasato , Naoyuki Yonemaru , Keitaro Takahashi , Sachiko Kuroyanagi

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…

Pulsar Timing Arrays are playing a crucial role in the ongoing gravitational wave astronomy revolution. The current evidence for a stochastic gravitational wave background (SGWB) at nHz frequencies offers an opportunity to discover…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-07 Chiara Cecchini , Gabriele Franciolini , Mauro Pieroni

Pulsar Timing Arrays (PTAs) are approaching the sensitivity required for a $5\sigma$ detection of the nanohertz stochastic gravitational-wave background (GWB). This makes it crucial to deeply understand the behaviour of our analysis…

High Energy Astrophysical Phenomena · Physics 2026-05-27 Irene Ferranti , Mikel Falxa , Federico Fantoccoli , Alberto Sesana , Golam Mohiuddin Shaifullah

Recently, the Hellings Downs correlation has been observed by different pulsar timing array (PTA) collaborations, such as NANOGrav, European PTA, Parkes PTA, and Chinese PTA. These PTA measurements of the most precise pulsars within the…

High Energy Physics - Phenomenology · Physics 2024-12-02 Jing Yang , Ning Xie , Fa Peng Huang

The angular correlation of pulsar residuals observed by NANOGrav and other pulsar timing array (PTA) collaborations show evidence in support of the Hellings-Downs correlation expected from stochastic gravitational wave background (SGWB). In…

High Energy Physics - Phenomenology · Physics 2024-10-03 Debtosh Chowdhury , Arpan Hait , Subhendra Mohanty , Suraj Prakash

Pulsar timing arrays (PTAs) can be used to search for very low frequency ($10^{-9}$--$10^{-7}$ Hz) gravitational waves (GWs). In this paper we present a general method for the detection and localization of single-source GWs using PTAs. We…

Instrumentation and Methods for Astrophysics · Physics 2015-03-27 Xing-Jiang Zhu , Linqing Wen , George Hobbs , Yilin Zhang , Yan Wang , Dustin R. Madison , Richard N. Manchester , Matthew Kerr , Pablo A. Rosado , Jingbo Wang

Pulsar Timing Array (PTA) experiments are expected to be sensitive to gravitational waves (GWs) emitted by individual supermassive black hole binaries (SMBHBs) inspiralling along eccentric orbits. We compare the computational cost of…

General Relativity and Quantum Cosmology · Physics 2023-07-03 Abhimanyu Susobhanan

Recently we found compelling evidence for a gravitational wave background with Hellings and Downs (HD) correlations in our 15-year data set. These correlations describe gravitational waves as predicted by general relativity, which has two…

General Relativity and Quantum Cosmology · Physics 2023-10-19 Gabriella Agazie , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Jeremy Baier , Paul T. Baker , Bence Bécsy , Laura Blecha , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Rand Burnette , Robin Case , J. Andrew Casey-Clyde , Maria Charisi , Shami Chatterjee , Tyler Cohen , James M. Cordes , Neil J. Cornish , Fronefield Crawford , H. Thankful Cromartie , Kathryn Crowter , Megan E. DeCesar , Dallas DeGan , Paul B. Demorest , Timothy Dolch , Brendan Drachler , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel E. Freedman , Nate Garver-Daniels , Peter A. Gentile , Joseph Glaser , Deborah C. Good , Kayhan Gültekin , Jeffrey S. Hazboun , Ross J. Jennings , Aaron D. Johnson , Megan L. Jones , Andrew R. Kaiser , David L. Kaplan , Luke Zoltan Kelley , Matthew Kerr , Joey S. Key , Nima Laal , Michael T. Lam , William G. Lamb , T. Joseph W. Lazio , Natalia Lewandowska , Tingting Liu , Duncan R. Lorimer , Jing Luo , Ryan S. Lynch , Chung-Pei Ma , Dustin R. Madison , Alexander McEwen , James W. McKee , Maura A. McLaughlin , Natasha McMann , Bradley W. Meyers , Chiara M. F. Mingarelli , Andrea Mitridate , Priyamvada Natarajan , Cherry Ng , David J. Nice , Stella Koch Ocker , Ken D. Olum , Timothy T. Pennucci , Benetge B. P. Perera , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Joseph D. Romano , Alexander Saffer , Shashwat C. Sardesai , Ann Schmiedekamp , Carl Schmiedekamp , Kai Schmitz , Brent J. Shapiro-Albert , Xavier Siemens , Joseph Simon , Magdalena S. Siwek , Ingrid H. Stairs , Daniel R. Stinebring , Kevin Stovall , Jerry P. Sun , Abhimanyu Susobhanan , Joseph K. Swiggum , Jacob A. Taylor , Stephen R. Taylor , E. Turner , Caner Unal , Michele Vallisneri , Sarah J. Vigeland , Haley M. Wahl , Caitlin A. Witt , Olivia Young

Astrometric missions like Gaia provide exceptionally precise measurements of stellar positions and proper motions. Gravitational waves traveling between the observer and distant stars can induce small, correlated shifts in these apparent…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Massimo Vaglio , Mikel Falxa , Giorgio Mentasti , Arianna I. Renzini , Adrien Kuntz , Enrico Barausse , Carlo Contaldi , Alberto Sesana