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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

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

Searches for stochastic gravitational-wave backgrounds using pulsar timing arrays look for correlations in the timing residuals induced by the background across the pulsars in the array. The correlation signature of an isotropic,…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Fredrick A. Jenet , Joseph D. Romano

After large galaxies merge, their central supermassive black holes are expected to form binary systems whose orbital motion generates a gravitational wave background (GWB) at nanohertz frequencies. Searches for this background utilize…

High Energy Astrophysical Phenomena · Physics 2022-04-12 M. Ajello , W. B. Atwood , L. Baldini , J. Ballet , G. Barbiellini , D. Bastieri , R. Bellazzini , A. Berretta , B. Bhattacharyya , E. Bissaldi , R. D. Blandford , E. Bloom , R. Bonino , P. Bruel , R. Buehler , E. Burns , S. Buson , R. A. Cameron , P. A. Caraveo , E. Cavazzuti , N. Cibrario , S. Ciprini , C. J. Clark , I. Cognard , J. Coronado-Blázquez , M. Crnogorcevic , H. Cromartie , K. Crowter , S. Cutini , F. D'Ammando , S. D. Gaetano , F. d. Palma , S. W. Digel , N. D. Lalla , F. Fan. Dirirsa , L. D. Venere , A. Domínguez , E. C. Ferrara , A. Fiori , A. Franckowiak , Y. Fukazawa , S. Funk , P. Fusco , V. Gammaldi , F. Gargano , D. Gasparrini , N. Giglietto , F. Giordano , M. Giroletti , D. Green , I. A. Grenier , L. Guillemot , S. Guiriec , M. Gustafsson , A. K. Harding , E. Hays , J. W. Hewitt , D. Horan , X. Hou , G. Jóhannesson , M. J. Keith , M. Kerr , M. Kramer , M. Kuss , S. Larsson , L. Latronico , J. Li , F. Longo , F. Loparco , M. N. Lovellette , P. Lubrano , S. Maldera , A. Manfreda , G. Martí-Devesa , M. N. Mazziotta , I. Mereu , P. F. Michelson , N. Mirabal , W. Mitthumsiri , T. Mizuno , M. E. Monzani , A. Morselli , M. Negro , L. Nieder , R. Ojha , N. Omodei , M. Orienti , E. Orlando , J. F. Ormes , D. Paneque , A. Parthasarathy , Z. Pei , M. Persic , M. Pesce-Rollins , R. Pillera , H. Poon , T. A. Porter , G. Principe , J. L. Racusin , S. Rainò , R. Rando , B. Rani , S. M. Ransom , P. S. Ray , M. Razzano , S. Razzaque , A. Reimer , O. Reimer , J. Roy , M. Sánchez-Conde , P. M. Sa. Parkinson , J. Scargle , L. Scotton , D. Serini , C. Sgrò , E. J. Siskind , D. A. Smith , G. Spandre , R. Spiewak , P. Spinelli , I. Stairs , D. J. Suson , S. J. Swihart , S. Tabassum , J. B. Thayer , G. Theureau , D. F. Torres , E. Troja , J. Valverde , Z. Wadiasingh , K. Wood , G. Zaharijas

Pulsar Timing Arrays (PTAs) have recently found strong evidence for low-frequency gravitational waves (GWs) in the nanohertz frequency regime. As GWs pass, they produce deviations in measured lengths and light-travel times. PTA experiments…

High Energy Astrophysical Phenomena · Physics 2025-05-05 Luke Zoltan Kelley

The standard technique for very low-frequency gravitational wave detection is mainly based on searching for a specific spatial correlation in the variation of the times of arrival of the radio pulses emitted by millisecond pulsars with…

Astrophysics of Galaxies · Physics 2022-12-13 Michele Maiorano , Francesco De Paolis , Achille A. Nucita

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 aim to detect nanohertz-frequency gravitational waves (GWs). A background of GWs modulates pulsar arrival times and manifests as a stochastic process, common to all pulsars, with a signature spatial correlation. Here we…

Precision pulsar timing at the level of tens to hundreds of nanoseconds allows detection of nanohertz gravitational waves (GWs) from supermassive binary black holes (SMBBHs) at the cores of merging galaxies and, potentially, from exotic…

Instrumentation and Methods for Astrophysics · Physics 2019-03-25 J. M. Cordes , M. A. McLaughlin

We present the results of simulated injections testing the first Bayesian search-pipeline capable of investigating the angular-structure of a gravitational-wave (GW) background influencing pulsar signals. A stochastic background of GWs from…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Stephen R. Taylor , Jonathan R. Gair

Gravitational waves (GWs) are fluctuations in the fabric of spacetime predicted by Einstein's theory of general relativity. Using a collection of millisecond pulsars as high-precision clocks, the nanohertz band of this radiation is likely…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-13 P. Demorest , J. Lazio , A. Lommen

Direct detection of gravitational waves by pulsar timing arrays will become feasible over the next few years. In the low frequency regime ($10^{-7}$ Hz -- $10^{-9}$ Hz), we expect that a superposition of gravitational waves from many…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Justin Ellis , Xavier Siemens , Rutger van Haasteren

Pulsar Timing Arrays (PTA) around the world are using the incredible consistency of millisecond pulsars to measure low frequency gravitational waves from (super)Massive Black Hole (MBH) binaries. We use comprehensive MBH merger models based…

High Energy Astrophysical Phenomena · Physics 2017-09-06 Luke Zoltan Kelley , Laura Blecha , Lars Hernquist , Alberto Sesana , Stephen R. Taylor

At nanohertz frequencies gravitational waves (GWs) cause variations in time-of-arrival of pulsar signals potentially measurable via precision timing observations. Here we compute very-low-frequency GW sensitivity constrained by…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Fredrick A. Jenet , J. W. Armstrong , Massimo Tinto

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

Pulsar timing array collaborations have recently reported evidence for a noise process with a common spectrum among the millisecond pulsars in the arrays. The spectral properties of this common-noise process are consistent with expectations…

Very recently, several pulsar timing array collaborations, including CPTA, EPTA, and NANOGrav, reported their results from searches for an isotropic stochastic gravitational wave background (SGWB), with each finding positive evidence for…

High Energy Astrophysical Phenomena · Physics 2023-07-06 Ligong Bian , Shuailiang Ge , Jing Shu , Bo Wang , Xing-Yu Yang , Junchao Zong

Pulsar timing is a promising technique for detecting low frequency sources of gravitational waves. Historically the focus has been on the detection of diffuse stochastic backgrounds, such as those formed from the superposition of weak…

High Energy Astrophysical Phenomena · Physics 2010-08-18 Vincent Corbin , Neil J. Cornish

Pulsar timing experiments are reaching sufficient sensitivity to detect a postulated stochastic gravitational wave background generated by merging supermassive black hole systems in the cores of galaxies. We describe the techniques behind…

Astrophysics · Physics 2009-06-23 G. Hobbs

In this letter we carry out the first systematic investigation of the expected gravitational wave (GW) background generated by supermassive black hole (SMBH) binaries in the nHz frequency band accessible to pulsar timing arrays (PTAs). We…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 A. Sesana
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