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Basic aspects of the background of gravitational waves and its mathematical characterization are reviewed. The spectral energy density parameter $\Omega(f)$, commonly used as a quantifier of the background, is derived for an ensemble of…

General Relativity and Quantum Cosmology · Physics 2011-10-05 Pablo A. Rosado

Hydrodynamic turbulence driven by crust-core differential rotation imposes a fundamental noise floor on gravitational wave observations of neutron stars. The gravitational wave emission peaks at the Kolmogorov decoherence frequency which,…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Paul D. Lasky , Mark F. Bennett , Andrew Melatos

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…

We generalize to reduced Horndeski theories of gravity, where gravitational waves (GWs) travel at the speed of light, the expression of a statistically homogeneous and unpolarized stochastic gravitational wave background (SGWB) signal…

General Relativity and Quantum Cosmology · Physics 2022-12-01 João C. Lobato , Isabela S. Matos , Maurício O. Calvão , Ioav Waga

Stochastic gravitational-wave (GW) background (SGWB) contains information about the early Universe and astrophysical processes. The recent evidence of SGWB by pulsar timing arrays in the nanohertz band is a breakthrough in the GW astronomy.…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Hanlin Song , Dicong Liang , Ziming Wang , Lijing Shao

Scalar-tensor gravity, exemplified by Brans-Dicke (BD) gravity, introduces additional scalar polarization modes that contribute scalar radiation alongside tensor modes. We conduct a comprehensive analysis of how gravitational wave…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Ran Chen , Zhao Li , Yin-Jie Li , Yi-Ying Wang , Rui Niu , Wen Zhao , Yi-Zhong Fan

The gravitational wave radiation emitted by all, resolved and unresolved, astrophysical sources in the observable universe generates a stochastic background. This background has a directional dependence inherited from the inhomogeneities of…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-27 Giulia Cusin , Cyril Pitrou , Jean-Philippe Uzan

Although spinning black holes are shown to be stable in vacuum in general relativity, there exists exotic mechanisms that can convert the spin energy of black holes into gravitational waves. Such waves may be very weak in amplitude, since…

General Relativity and Quantum Cosmology · Physics 2018-08-22 Xi-Long Fan , Yan-Bei Chen

Gravitational Wave (GW) data bring an exceptional avenue to test the underlying models of coalescing compact objects. In the regime of strong gravity and high curvature, they allow the exploration of minute deviations from the best-fit…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Guillaume Dideron , Suvodip Mukherjee , Luis Lehner

The high-frequency gravitational-wave band is often discussed primarily in the context of new physics, but realistic Standard-Model foregrounds remain incompletely characterized. We investigate pulsar polar caps as a physically motivated…

High Energy Astrophysical Phenomena · Physics 2026-05-21 Anne S. Freise , Jamie I. McDonald , Kirill Riabtsev , Samuel J. Witte

The Stochastic Gravitational Wave Background (SGWB) is expected to be a key observable for Gravitational Wave (GW) interferometry. Its detection will open a new window on early universe cosmology and on the astrophysics of compact objects.…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-11 N. Bartolo , D. Bertacca , S. Matarrese , M. Peloso , A. Ricciardone , A. Riotto , G. Tasinato

We report multiple lines of evidence for a stochastic signal that is correlated among 67 pulsars from the 15-year pulsar-timing data set collected by the North American Nanohertz Observatory for Gravitational Waves. The correlations follow…

High Energy Astrophysical Phenomena · Physics 2023-06-29 Gabriella Agazie , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Paul T. Baker , Bence Becsy , Laura Blecha , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Rand Burnette , Robin Case , Maria Charisi , Shami Chatterjee , Katerina Chatziioannou , Belinda D. Cheeseboro , Siyuan Chen , Tyler Cohen , James M. Cordes , Neil J. Cornish , Fronefield Crawford , H. Thankful Cromartie , Kathryn Crowter , Curt J. Cutler , Megan E. DeCesar , Dallas DeGan , Paul B. Demorest , Heling Deng , Timothy Dolch , Brendan Drachler , Justin A. Ellis , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel E. Freedman , Nate Garver-Daniels , Peter A. Gentile , Kyle A. Gersbach , Joseph Glaser , Deborah C. Good , Kayhan Gultekin , Jeffrey S. Hazboun , Sophie Hourihane , Kristina Islo , Ross J. Jennings , Aaron D. Johnson , Megan L. Jones , Andrew R. Kaiser , David L. Kaplan , Luke Zoltan Kelley , Matthew Kerr , Joey S. Key , Tonia C. Klein , Nima Laal , Michael T. Lam , William G. Lamb , T. Joseph W. Lazio , Natalia Lewandowska , Tyson B. Littenberg , Tingting Liu , Andrea Lommen , Duncan R. Lorimer , Jing Luo , Ryan S. Lynch , Chung-Pei Ma , Dustin R. Madison , Margaret A. Mattson , Alexander McEwen , James W. McKee , Maura A. McLaughlin , Natasha McMann , Bradley W. Meyers , Patrick M. 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 , Polina Petrov , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Joseph D. Romano , Shashwat C. Sardesai , Ann Schmiedekamp , Carl Schmiedekamp , Kai Schmitz , Levi Schult , 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 Taylor , Stephen R. Taylor , Jacob E. Turner , Caner Unal , Michele Vallisneri , Rutger van Haasteren , Sarah J. Vigeland , Haley M. Wahl , Qiaohong Wang , Caitlin A. Witt , Olivia Young

The mean spectrum and burst statistics of gravitational waves produced by a cosmological population of cosmic string loops are estimated using analytic approximations, calibrated with earlier simulations. Formulas are derived showing the…

Astrophysics · Physics 2009-11-11 Craig J. Hogan

In a recent paper we have deduced the basic equations that predict the emission of gravitational waves (GW) according to the Einstein gravitation theory. In a subsequent paper these equations have been used to calculate the luminosities and…

General Relativity and Quantum Cosmology · Physics 2010-04-15 M. Cattani

The consortium NANOGrav discovered the isotropic gravitational wave background (GWB) with an amplitude of $h\sim 10^{-15}$ and a frequency of $f\sim 10^{-8}$ Hz using observations of millisecond pulsars. We hypothesize that the GWB is relic…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-22 Nick Gorkavyi

Since the initial discovery of gravitational-waves from merging black holes, the LIGO Scientific Collaboration together with Virgo and KAGRA have published 90 gravitational-wave observations of compact binary mergers in the…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Vera Del Favero

Recent detection of nHz stochastic gravitational wave background (SGWB) by multiple pulsar timing arrays (PTAs) has stimulated intensive discussions about its physical origin. In principle, either supermassive black hole binaries (SMBHBs)…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-10 Xiao Xue , Zhen Pan , Liang Dai

Stellar core collapse events are expected to produce gravitational waves via several mechanisms, most of which are not yet fully understood due to the current limitations in the numerical simulations of these events. In this paper, we begin…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-05 Kyle Crocker , Tanner Prestegard , Vuk Mandic , Tania Regimbau , Keith Olive , Elisabeth Vangioni

The steadily improving sensitivity of pulsar timing arrays (PTAs) suggests that gravitational waves (GWs) from supermassive black hole binary (SMBHB) systems in the nearby universe will be de- tectable sometime during the next decade.…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-07 Joseph Simon , Abigail Polin , Andrea Lommen , Ben Stappers , Lee Samuel Finn , F A Jenet , B Christy
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