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A new detection method for gravitational waves (GWs) with ultra-low frequencies ($f_{\rm GW} \lesssim 10^{-10}~{\rm Hz}$), which is much lower than the range of pulsar timing arrays (PTAs), was proposed in Yonemaru et al. (2016). This…

High Energy Astrophysical Phenomena · Physics 2019-05-29 Shinnosuke Hisano , Naoyuki Yonemaru , Hiroki Kumamoto , Keitaro Takahashi

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 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

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

Pulsar timing arrays (PTAs) use an array of millisecond pulsars to search for gravitational waves in the nanohertz regime in pulse time of arrival data. This paper presents rigorous tests of PTA methods, examining their consistency across…

High Energy Astrophysical Phenomena · Physics 2025-05-14 Aaron D. Johnson , Patrick M. Meyers , Paul T. Baker , Neil J. Cornish , Jeffrey S. Hazboun , Tyson B. Littenberg , Joseph D. Romano , Stephen R. Taylor , Michele Vallisneri , Sarah J. Vigeland , Ken D. Olum , Xavier Siemens , Justin A. Ellis , Rutger van Haasteren , Sophie Hourihane , Gabriella Agazie , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Laura Blecha , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Bence Bécsy , J. Andrew Casey-Clyde , Maria Charisi , Shami Chatterjee , Katerina Chatziioannou , Tyler Cohen , James M. Cordes , 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 , Ross J. Jennings , 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 , 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 , Cherry Ng , David J. Nice , Stella Koch Ocker , Timothy T. Pennucci , Benetge B. P. Perera , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Shashwat C. Sardesai , Carl Schmiedekamp , Ann Schmiedekamp , Kai Schmitz , Brent J. Shapiro-Albert , Joseph Simon , Magdalena S. Siwek , Ingrid H. Stairs , Daniel R. Stinebring , Kevin Stovall , Abhimanyu Susobhanan , Joseph K. Swiggum , Jacob E. Turner , Caner Unal , Haley M. Wahl , Caitlin A. Witt , Olivia Young

Pulsar timing arrays (PTAs) are anticipated to detect continuous gravitational waves (GWs) from individual supermassive black hole binaries (SMBHBs) in the near future. To identify the host galaxy of a GW source, PTAs require significantly…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Ryo Kato , Keitaro Takahashi

The detection of a stochastic background of low-frequency gravitational waves by pulsar-timing and astrometric surveys will enable tests of gravitational theories beyond general relativity. These theories generally permit gravitational…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Wenzer Qin , Kimberly K. Boddy , Marc Kamionkowski

One of the primary objectives for Pulsar Timing Arrays (PTAs) is to detect a stochastic background generated by the incoherent superposition of gravitational waves (GWs), in particular from the cosmic population of supermassive black hole…

High Energy Astrophysical Phenomena · Physics 2014-09-30 Chiara M. F. Mingarelli , Trevor Sidery

The measurement of pulsar pulse times-of-arrival (ToAs) is a crucial step in detecting low-frequency gravitational waves. To determine ToAs, we can use template-matching to compare each observed pulse profile with a standard template.…

Instrumentation and Methods for Astrophysics · Physics 2024-07-17 J. Wang , J. P. W. Verbiest , G. M. Shaifullah , I. Cognard , L. Guillemot , G. H. Janssen , M. B. Mickaliger , A. Possenti , G. Theureau

Mapping gravitational-wave background (GWB) anisotropy with pulsar timing arrays (PTAs) is affected by harmonic-space mode suppression and mode coupling arising from an array's nonuniform sky response. Spherical harmonic expansions must be…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Deepali Agarwal , Joseph D. Romano , Yacine Ali-Haïmoud , Tristan L. Smith

Millisecond pulsars are intrinsically very stable clocks and precise measurement of their observed pulse periods can be used to study a wide variety of astrophysical phenomena. In particular, observations of a large sample of millisecond…

High Energy Astrophysical Phenomena · Physics 2015-05-27 R. N. Manchester

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

Direct detection of low-frequency gravitational waves ($10^{-9} - 10^{-8}$ Hz) is the main goal of pulsar timing array (PTA) projects. One of the main targets for the PTAs is to measure the stochastic background of gravitational waves (GWB)…

Super-massive black hole binaries are expected to produce a GW signal in the nano-Hertz frequency band which may be detected by PTAs in the coming years. The signal is composed of both stochastic and individually resolvable components. Here…

Instrumentation and Methods for Astrophysics · Physics 2019-07-17 Janna Goldstein , John Veitch , Alberto Sesana , Alberto Vecchio

Efforts to detect gravitational waves by timing an array of pulsars have focused traditionally on stationary gravitational waves: e.g., stochastic or periodic signals. Gravitational wave bursts --- signals whose duration is much shorter…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 Lee Samuel Finn , Andrea N. Lommen

The International Pulsar Timing Array project combines observations of pulsars from both Northern and Southern hemisphere observatories with the main aim of detecting ultra-low frequency (~10^-9 to 10^-8 Hz) gravitational waves. Here we…

We discuss the theory of pulsar-timing and astrometry probes of a stochastic gravitational-wave background with a recently developed "total-angular-momentum" (TAM) formalism for cosmological perturbations. We review the formalism,…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-02 Wenzer Qin , Kimberly K. Boddy , Marc Kamionkowski , Liang Dai

Analysis of high-precision timing observations of an array of approx. 20 millisecond pulsars (a so-called "timing array") may ultimately result in the detection of a stochastic gravitational-wave background. The feasibility of such a…

Several Pulsar Timing Array (PTA) collaborations have recently found evidence for a Gravitational Wave Background (GWB) by measuring the perturbations that this background induces in the time-of-arrivals of pulsar signals. These…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-03 Thomas Konstandin , Anna-Malin Lemke , Andrea Mitridate , Enrico Perboni
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