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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

Massive black hole binary systems, with masses in the range ~10^4-10^10 \msun, are among the primary sources of gravitational waves in the frequency window ~10^-9 Hz - 0.1 Hz. Pulsar Timing Arrays (PTAs) and the Laser Interferometer Space…

Astrophysics · Physics 2009-11-13 Alberto Sesana , Alberto Vecchio , Carlo Nicola Colacino

Pulsar timing arrays (PTAs) might detect gravitational waves (GWs) from massive black hole (MBH) binaries within this decade. The signal is expected to be an incoherent superposition of several nearly-monochromatic waves of different…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Antoine Petiteau , Stanislav Babak , Alberto Sesana , Mariana de Araujo

By monitoring the times of arrival of radio pulses from millisecond pulsars, Pulsar Timing Arrays (PTAs) serve as unique gravitational wave (GW) laboratories in the nanohertz band. To date, the primary astrophysical sources of GWs targeted…

High Energy Astrophysical Phenomena · Physics 2026-04-24 Hippolyte Quelquejay Leclere

Measurement of the pulsar timing residuals provides a direct way to detect relic gravitational waves at the frequency $f\sim 1/{\rm yr}$. In this paper, we investigate the constraints on the inflationary parameters, the tensor-to-scalar…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-17 Wen Zhao , Yang Zhang , Xiao-Peng You , Zong-Hong Zhu

The sensitivity of ongoing searches for gravitational wave (GW) sources in the ultra-low frequency regime ($10^{-9}$ Hz to $10^{-7}$ Hz) using Pulsar Timing Arrays (PTAs) will continue to increase in the future as more well-timed pulsars…

Instrumentation and Methods for Astrophysics · Physics 2022-07-22 Yi-Qian Qian , Soumya D. Mohanty , Yan Wang

Pulsar timing arrays (PTAs) are ensembles of millisecond pulsars observed for years to decades. The primary goal of PTAs is to study gravitational-wave astronomy at nanohertz frequencies, with secondary goals of undertaking other…

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

We have begun an exciting era for gravitational wave detection, as several world-leading experiments are breaching the threshold of anticipated signal strengths. Pulsar timing arrays (PTAs) are pan-Galactic gravitational wave detectors that…

Instrumentation and Methods for Astrophysics · Physics 2015-11-26 Sarah Burke-Spolaor

The pulsar timing array (PTA) is a powerful technique for detecting nanohertz gravitational wave backgrounds (GWBs). However, conventional PTAs lack sensitivity to parity violation in the GWB. In this work, we propose a dipole pulsar timing…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Baoyu Xu , Hanyu Jiang , Rong-Gen Cai , Misao Sasaki , Yun-Long Zhang

A pulsar timing array (PTA) refers to a program of regular, high-precision timing observations of a widely distributed array of millisecond pulsars. Here we review the status of the three primary PTA projects and the joint International…

Instrumentation and Methods for Astrophysics · Physics 2019-04-03 George Hobbs , Shi Dai

By inferring the gravitational wave background (GWB) from a population of supermassive black hole binaries (SMBHBs), pulsar timing arrays (PTAs) enable the study of massive black holes. In many ways, PTAs manifest the promise of a…

High Energy Astrophysical Phenomena · Physics 2025-12-16 Nima Laal , Stephen R. Taylor , Cayenne Matt , Kayhan Gultekin

Observing and timing a group of millisecond pulsars (MSPs) with high rotational stability enables the direct detection of gravitational waves (GWs). The GW signals can be identified from the spatial correlations encoded in the…

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

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

Arrays of precisely-timed millisecond pulsars are used to search for gravitational waves with periods of months to decades. Gravitational waves affect the path of radio pulses propagating from a pulsar to Earth, causing the arrival times of…

High Energy Astrophysical Phenomena · Physics 2025-11-13 Stephen R. Taylor

Supermassive black hole binaries (SMBHBs) are expected to emit continuous gravitational waves in the pulsar timing array (PTA) frequency band ($10^{-9}$--$10^{-7}$ Hz). The development of data analysis techniques aimed at efficient…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Justin Ellis , Xavier Siemens , Jolien Creighton

The Thousand Pulsar Array (TPA) project currently monitors about 500 pulsars with the sensitive MeerKAT radio telescope by using subarrays to observe multiple sources simultaneously. Here we define the adopted observing strategy, which…

Pulsar timing arrays (PTAs) will enable the detection of nanohertz gravitational waves (GWs) from a population of supermassive binary black holes (SMBBHs) in the next $\sim 3-7$ years. In addition, PTAs provide a rare opportunity to probe…

General Relativity and Quantum Cosmology · Physics 2019-07-12 Xavier Siemens , Jeffrey S. Hazboun , Paul T. Baker , Sarah Burke-Spolaor , Dustin Madison , Chiara Mingarelli , Joseph Simon , Tristan Smith

We present observations and timing analyses of 68 millisecond pulsars (MSPs) comprising the 15-year data set of the North American Nanohertz Observatory for Gravitational Waves (NANOGrav). NANOGrav is a pulsar timing array (PTA) experiment…

High Energy Astrophysical Phenomena · Physics 2023-06-29 Gabriella Agazie , Md Faisal Alam , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Paul T. Baker , Laura Blecha , Victoria Bonidie , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Bence Bécsy , Christopher Chapman , Maria Charisi , Shami Chatterjee , Tyler Cohen , James M. Cordes , Neil J. Cornish , Fronefield Crawford , H. Thankful Cromartie , Kathryn Crowter , Megan E. DeCesar , 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 , Cody Jessup , Aaron D. Johnson , Megan L. Jones , Andrew R. Kaiser , David L. Kaplan , Luke Zoltan Kelley , Matthew Kerr , Joey S. Key , Anastasia Kuske , Nima Laal , Michael T. Lam , William G. Lamb , T. Joseph W. Lazio , Natalia Lewandowska , Ye Lin , Tingting Liu , Duncan R. Lorimer , Jing Luo , Ryan S. Lynch , Chung-Pei Ma , Dustin R. Madison , Kaleb Maraccini , Alexander McEwen , James W. McKee , Maura A. McLaughlin , Natasha McMann , Bradley W. Meyers , Chiara M. F. Mingarelli , Andrea Mitridate , Cherry Ng , David J. Nice , Stella Koch Ocker , Ken D. Olum , Elisa Panciu , Timothy T. Pennucci , Benetge B. P. Perera , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Joseph D. Romano , Laura Salo , Shashwat C. Sardesai , Carl Schmiedekamp , Ann Schmiedekamp , Kai Schmitz , Brent J. Shapiro-Albert , Xavier Siemens , Joseph Simon , Magdalena S. Siwek , Ingrid H. Stairs , Daniel R. Stinebring , Kevin Stovall , Abhimanyu Susobhanan , Joseph K. Swiggum , Stephen R. Taylor , Jacob E. Turner , Caner Unal , Michele Vallisneri , Sarah J. Vigeland , Haley M. Wahl , Qiaohong Wang , Caitlin A. Witt , Olivia Young