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We have considered the propagation of gravitational waves (GW) in de Sitter space time and how a non-zero value of the cosmological constant might affect their detection in pulsar timing arrays (PTA). If {\Lambda} is different from zero…

General Relativity and Quantum Cosmology · Physics 2013-02-28 Domènec Espriu , Daniel Puigdomènech

Pulsar timing arrays (PTA) hunt for gravitational waves (GW) by searching for the correlations that GWs induce in the time-of-arrival residuals from different pulsars. If the GW sources are of astrophysical origin, then they are located at…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Bruce Allen , Deepali Agarwal , Joseph D. Romano , Serena Valtolina

The detection of a stochastic signal by recent pulsar timing array (PTA) collaborations, including NANOGrav, PPTA, EPTA+InPTA, CPTA and MPTA, has opened a new window to explore gravitational waves (GWs) at nanohertz frequencies. Motivated…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-17 Zhi-Zhang Peng , You Wu , Lang Liu

The recent astronomical milestone by the pulsar timing arrays (PTA) has revealed galactic-size gravitational waves (GW) in the form of a stochastic gravitational wave background (SGWB), correlating the radio pulses emitted by millisecond…

General Relativity and Quantum Cosmology · Physics 2024-11-08 Reginald Christian Bernardo , Kin-Wang Ng

Recent years have seen a burgeoning interest in using pulsar timing arrays (PTAs) as gravitational-wave (GW) detectors. To date, that interest has focused mainly on three particularly promising source types: supermassive--black-hole…

General Relativity and Quantum Cosmology · Physics 2014-02-26 Curt Cutler , Sarah Burke-Spolaor , Michele Vallisneri , Joseph Lazio , Walid Majid

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…

We consider the effects of relaxing the assumption that gravitational waves composing the stochastic gravitational wave background (SGWB) are uncorrelated between frequencies in analyses of the data from Pulsar Timing Arrays (PTAs). While…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-30 Wayne Hu , Qiuyue Liang , Meng-Xiang Lin , Mark Trodden

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

We perform a phenomenological comparison of the gravitational wave (GW) spectrum expected from cosmic gauge string networks and superstring networks comprised of multiple string types. We show how violations of scaling behavior and the…

High Energy Physics - Phenomenology · Physics 2024-07-25 Danny Marfatia , Ye-Ling Zhou

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

Pulsar Timing Arrays (PTAs) have reported evidence for a stochastic gravitational wave (GW) background at nHz frequencies, possibly originating in the early Universe. We show that the spectral shape of the low-frequency (causality) tail of…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-25 Gabriele Franciolini , Davide Racco , Fabrizio Rompineve

Abbreviated: We investigate the potential of detecting the gravitational wave from individual binary black hole systems using pulsar timing arrays (PTAs) and calculate the accuracy for determining the GW properties. This is done in a…

High Energy Astrophysical Phenomena · Physics 2015-05-27 K. J. Lee , N. Wex , M. Kramer , B. W. Stappers , C. G. Bassa , G. H. Janssen , R. Karuppusamy , R. Smits

The evidence of the stochastic gravitational-wave background around the nano-hertz frequency range was recently found by worldwide pulsar timing array (PTA) collaborations. One of the cosmological explanations is the gravitational waves…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-27 Keisuke Harigaya , Keisuke Inomata , Takahiro Terada

The recent discovery of ultra-long wavelength gravitational waves through the advent of pulsar timing arrays (PTA) has opened up new avenues for fundamental science. Here we show that every PTA source will be diffractively lensed by…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-04 Dylan L. Jow , Ue-Li Pen

Dense, continuous pulsar timing observations over a 24-hr period provide a method for probing intermediate gravitational wave (GW) frequencies from 10 microhertz to 20 millihertz. The European Pulsar Timing Array (EPTA), the North American…

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

Statistical anisotropy in the nanohertz-frequency gravitational-wave background (GWB) is expected to be detected by pulsar timing arrays (PTAs) in the near future. By developing a frequentist statistical framework that intrinsically…

High Energy Astrophysical Phenomena · Physics 2022-12-14 Nihan Pol , Stephen R. Taylor , Joseph D. Romano

Pulsar timing arrays act to detect gravitational waves by observing the small, correlated effect the waves have on pulse arrival times at Earth. This effect has conventionally been evaluated assuming the gravitational wave phasefronts are…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Xihao Deng , Lee Samuel Finn

Pulsar timing arrays (PTAs) are limited in localizing nanohertz continuous gravitational waves (CGWs) by uncertainties in pulsar distances. We introduce a method to infer pulsar distances in two dimensions, using phase information from the…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Si-Ren Xiao , Ji-Yu Song , Yue Shao , Ling-Feng Wang , Jing-Fei Zhang , Xin Zhang

The Australian, Chinese, European, Indian, and North American pulsar timing array (PTA) collaborations recently reported, at varying levels, evidence for the presence of a nanohertz gravitational wave background (GWB). Given that each PTA…

High Energy Astrophysical Phenomena · Physics 2023-09-06 The International Pulsar Timing Array Collaboration , G. Agazie , J. Antoniadis , A. Anumarlapudi , A. M. Archibald , P. Arumugam , S. Arumugam , Z. Arzoumanian , J. Askew , S. Babak , M. Bagchi , M. Bailes , A. -S. Bak Nielsen , P. T. Baker , C. G. Bassa , A. Bathula , B. Bécsy , A. Berthereau , N. D. R. Bhat , L. Blecha , M. Bonetti , E. Bortolas , A. Brazier , P. R. Brook , M. Burgay , S. Burke-Spolaor , R. Burnette , R. N. Caballero , A. Cameron , R. Case , A. Chalumeau , D. J. Champion , S. Chanlaridis , M. Charisi , S. Chatterjee , K. Chatziioannou , B. D. Cheeseboro , S. Chen , Z. -C. Chen , I. Cognard , T. Cohen , W. A. Coles , J. M. Cordes , N. J. Cornish , F. Crawford , H. T. Cromartie , K. Crowter , M. Curyło , C. J. Cutler , S. Dai , S. Dandapat , D. Deb , M. E. DeCesar , D. DeGan , P. B. Demorest , H. Deng , S. Desai , G. Desvignes , L. Dey , N. Dhanda-Batra , V. Di Marco , T. Dolch , B. Drachler , C. Dwivedi , J. A. Ellis , M. Falxa , Y. Feng , R. D. Ferdman , E. C. Ferrara , W. Fiore , E. Fonseca , A. Franchini , G. E. Freedman , J. R. Gair , N. Garver-Daniels , P. A. Gentile , K. A. Gersbach , J. Glaser , D. C. Good , B. Goncharov , A. Gopakumar , E. Graikou , J. -M. Grießmeier , L. Guillemot , K. Gültekin , Y. J. Guo , Y. Gupta , K. Grunthal , J. S. Hazboun , S. Hisano , G. B. Hobbs , S. Hourihane , H. Hu , F. Iraci , K. Islo , D. Izquierdo-Villalba , J. Jang , J. Jawor , G. H. Janssen , R. J. Jennings , A. Jessner , A. D. Johnson , M. L. Jones , B. C. Joshi , A. R. Kaiser , D. L. Kaplan , A. Kapur , F. Kareem , R. Karuppusamy , E. F. Keane , M. J. Keith , L. Z. Kelley , M. Kerr , J. S. Key , D. Kharbanda , T. Kikunaga , T. C. Klein , N. Kolhe , M. Kramer , M. A. Krishnakumar , A. Kulkarni , N. Laal , K. Lackeos , M. T. Lam , W. G. Lamb , B. B. Larsen , T. J. W. Lazio , K. J. Lee , Y. Levin , N. Lewandowska , T. B. Littenberg , K. Liu , T. Liu , Y. Liu , A. Lommen , D. R. Lorimer , M. E. Lower , J. Luo , R. Luo , R. S. Lynch , A. G. Lyne , C. -P. Ma , Y. Maan , D. R. Madison , R. A. Main , R. N. Manchester , R. Mandow , M. A. Mattson , A. McEwen , J. W. McKee , M. A. McLaughlin , N. McMann , B. W. Meyers , P. M. Meyers , M. B. Mickaliger , M. Miles , C. M. F. Mingarelli , A. Mitridate , P. Natarajan , R. S. Nathan , C. Ng , D. J. Nice , I. C. Niţu , K. Nobleson , S. K. Ocker , K. D. Olum , S. Osłowski , A. K. Paladi , A. Parthasarathy , T. T. Pennucci , B. B. P. Perera , D. Perrodin , A. Petiteau , P. Petrov , N. S. Pol , N. K. Porayko , A. Possenti , T. Prabu , H. Quelquejay Leclere , H. A. Radovan , P. Rana , S. M. Ransom , P. S. Ray , D. J. Reardon , A. F. Rogers , J. D. Romano , C. J. Russell , A. Samajdar , S. A. Sanidas , S. C. Sardesai , A. Schmiedekamp , C. Schmiedekamp , K. Schmitz , L. Schult , A. Sesana , G. Shaifullah , R. M. Shannon , B. J. Shapiro-Albert , X. Siemens , J. Simon , J. Singha , M. S. Siwek , L. Speri , R. Spiewak , A. Srivastava , I. H. Stairs , B. W. Stappers , D. R. Stinebring , K. Stovall , J. P. Sun , M. Surnis , S. C. Susarla , A. Susobhanan , J. K. Swiggum , K. Takahashi , P. Tarafdar , J. Taylor , S. R. Taylor , G. Theureau , E. Thrane , N. Thyagarajan , C. Tiburzi , L. Toomey , J. E. Turner , C. Unal , M. Vallisneri , E. van der Wateren , R. van Haasteren , A. Vecchio , V. Venkatraman Krishnan , J. P. W. Verbiest , S. J. Vigeland , H. M. Wahl , S. Wang , Q. Wang , C. A. Witt , J. Wang , L. Wang , K. E. Wayt , Z. Wu , O. Young , L. Zhang , S. Zhang , X. -J. Zhu , A. Zic