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This work presents a set of coupled Boltzmann equations describing the intensity and polarisation Stokes parameters of the SGWB. Collision terms, which account for gravitational Compton scattering off of massive objects, are also included.…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-01 Lorenzo Pizzuti , Alessandro Tomella , Carmelita Carbone , Matteo Calabrese , Carlo Baccigalupi

The stochastic gravitational wave background (SGWB) is conventionally treated as a passive relic of its astrophysical and cosmological sources, with negligible back-reaction on the matter content of the Universe. Here we show that this…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 Manjia Liang , Peng Xu , Ruijun Shi , Zhoujian Cao , Ziren Luo , Minghui Du , Qiong Deng , Bo Liang , Jiaxiang Liang

Several Pulsar Timing Array (PTA) collaborations have recently found evidence for a gravitational wave background (GWB) permeating our galaxy. The origin of this background is still unknown. Indeed, while the gravitational wave emission…

High Energy Astrophysical Phenomena · Physics 2024-07-12 Anna-Malin Lemke , Andrea Mitridate , Kyle A. Gersbach

We investigate how the propagation of an astrophysical gravitational wave background (AGWB) is modified over cosmological volumes when considering theories beyond general relativity of the type Horndeski gravity. We first deduce an…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Rafael C. Nunes

Stochastic gravitational-wave backgrounds (SGWBs) derive from the superposition of numerous individually unresolved gravitational-wave (GW) signals. Detecting SGWBs provides us with invaluable information about astrophysics, cosmology, and…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Bei Zhou , Luca Reali , Emanuele Berti , Mesut Çalışkan , Cyril Creque-Sarbinowski , Marc Kamionkowski , B. S. Sathyaprakash

Usually, we assume that there is no inhomogeneity isotropic in terms of our location in the universe. This assumption has not been observationally confirmed yet in sufficient accuracy and we need to consider a method to restrict isotropic…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-16 Hiroyuki Negishi

The isotropic stochastic gravitational wave background (SGWB) generated by a population of supermassive black hole binaries (SMBHBs) provides a unique window into their cosmic evolution. In addition to the isotropic power spectrum, the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-18 Mohit Raj Sah , Suvodip Mukherjee

We study the redshift-space fluctuations induced by a stochastic gravitational wave background (SGWB) via the Sachs-Wolfe effect. The redshift-space fluctuations can be encapsulated in a line-of-sight integral that is useful for studying…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-17 Kin-Wang Ng

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

The analysis of how a stochastic background of gravitational radiation interacts with a spherical detector is given in detail, which leads to explicit expressions for the system response functions, as well as for the cross-correlation…

General Relativity and Quantum Cosmology · Physics 2022-05-04 J. Alberto Lobo , Alvaro Montero

The NANOGrav, PPTA, EPTA, CPTA and MPTA collaborations have reported compelling evidence for the existence of the Stochastic Gravitational-Wave Background (SGWB). This inferred background's amplitude and frequency spectrum align closely…

High Energy Astrophysical Phenomena · Physics 2025-07-08 Zhao-Qiang Shen , Guan-Wen Yuan , Yi-Ying Wang , Yuan-Zhu Wang , Yin-Jie Li , Yi-Zhong Fan

The collection of individually resolvable gravitational wave (GW) events makes up a tiny fraction of all GW signals which reach our detectors, while most lie below the confusion limit and go undetected. Like voices in a crowded room, the…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Arianna I. Renzini , Boris Goncharov , Alexander C. Jenkins , Pat M. Meyers

Gravitational wave (GW) astrophysics is entering a multi-band era with upcoming GW detectors, enabling detailed mapping of the stochastic GW background across vast frequencies. We highlight this potential via a new physics scenario: hybrid…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Yunjia Bao , Tore Boybeyi , Vuk Mandic , Lian-Tao Wang

A stochastic gravitational-wave background (SGWB) is expected to be produced by the superposition of individually undetectable, unresolved gravitational-wave (GW) signals from cosmological and astrophysical sources. Such a signal can be…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Federico De Lillo , Jishnu Suresh , Antoine Depasse , Magdalena Sieniawska , Andrew L. Miller , Giacomo Bruno

Cosmological solitons are widely predicted by scenarios of the early Universe. In this work, we investigate the isotropic background and anisotropies of gravitational waves (GWs) induced by soliton isocurvature perturbations, especially…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-04 Di Luo , Yan-Heng Yu , Jun-Peng Li , Sai Wang

The Cosmological Gravitational Wave Background (CGWB) anisotropies contain valuable information about the physics of the early universe. Given that General Relativity is intrinsically nonlinear, it is important to look beyond first-order…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-29 Alina Mierna , Sabino Matarrese , Nicola Bartolo , Angelo Ricciardone

In this this paper the stochastic background of gravitational waves (SBGWs) is analyzed with the auxilium of the WMAP data. We emphasize that, in general, in previous works in the literature about the SBGWs, old COBE data were used. After…

Astrophysics · Physics 2008-11-26 Christian Corda , Salvatore Capozziello , Mariafelicia De Laurentis

General Relativity provides us with an extremely powerful tool to extract at the same time astrophysical and cosmological information from the Stochastic Gravitational Wave Backgrounds (SGWBs): the cross-correlation with other cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-05 Angelo Ricciardone , Lorenzo Valbusa Dall'Armi , Nicola Bartolo , Daniele Bertacca , Michele Liguori , Sabino Matarrese

The stochastic gravitational wave background (SGWB) can be observed in the nanohertz band using a pulsar timing array (PTA). Here a computationally efficient state-space framework is developed for analysing SGWB data, in which the…

Future missions of gravitational-wave astronomy will be operated by space-based interferometers, covering very wide range of frequency. Search for stochastic gravitational-wave backgrounds (GWBs) is one of the main targets for such…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hideaki Kudoh , Atsushi Taruya , Takashi Hiramatsu , Yoshiaki Himemoto
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