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The problem of the detection and mapping of a stochastic gravitational wave background (SGWB), either of cosmological or astrophysical origin, bears a strong semblance to the analysis of CMB anisotropy and polarization. The basic statistic…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Sanjit Mitra , Sanjeev Dhurandhar , Tarun Souradeep , Albert Lazzarini , Vuk Mandic , Sukanta Bose , Stefan Ballmer

Using public pulse time-of-arrival data from five pulsar timing arrays (PTAs), we search for a stationary, isotropic, and unpolarized nHz stochastic gravitational-wave background (SGWB). This analysis is more sensitive than previous…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-29 Wang-Wei Yu , Bruce Allen

Gravitational waves perturb the paths of photons, impacting both the time-of-flight and the arrival direction of light from stars. Pulsar timing arrays can detect gravitational waves by measuring the variations in the time of flight of…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Logan O'Beirne , Neil J. Cornish

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

Gravitational-wave astronomy will soon become a new tool for observing the Universe. Detecting and interpreting gravitational waves will require deep theoretical insights into astronomical sources. The past three decades have seen…

General Relativity and Quantum Cosmology · Physics 2015-04-03 Alessandra Buonanno , B. S. Sathyaprakash

Astrometric observations can, in principle, be used to detect gravitational waves. In this paper we give a practical overview of the gravitational wave effects which can be expected specifically in small-field astrometric data. Particular…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Robin Geyer , Sven Zschocke , Michael Soffel , Sergei Klioner , Lennart Lindegren , Uwe Lammers

A passing gravitational wave causes a deflection in the apparent astrometric positions of distant stars. The effect of the speed of the gravitational wave on this astrometric shift is discussed. A stochastic background of gravitational…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Deyan P. Mihaylov , Christopher J. Moore , Jonathan Gair , Anthony Lasenby , Gerard Gilmore

The detection and characterization of the Stochastic Gravitational Wave Background (SGWB) is one of the main goals of Gravitational Wave (GW) experiments. The observed SGWB will be the combination of GWs from cosmological (as predicted by…

In the summer of 2023, the pulsar timing arrays (PTAs) announced a compelling evidence for the existence of a nanohertz stochastic gravitational wave background (SGWB). Despite this breakthrough, however, several critical questions remain…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-16 Reginald Christian Bernardo , Kin-Wang Ng

A stochastic gravitational wave background causes the apparent positions of distant sources to fluctuate, with angular deflections of order the characteristic strain amplitude of the gravitational waves. These fluctuations may be detectable…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-28 Laura G. Book , Éanna É. Flanagan

This paper discusses the effects of gravitational waves on high-accuracy astrometric observations such as those delivered by Gaia. Depending on the frequency of gravitational waves, two regimes for the influence of gravitational waves on…

High Energy Astrophysical Phenomena · Physics 2018-02-14 Sergei A. Klioner

The detection of gravitational waves opened up a new window to look into the Universe by probing phenomena invisible through electromagnetic observations. As gravitational waves interact very weakly with matter, their detection is…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Soumen Roy , Bruno Bertrand , Justin Janquart

On a time scale of years to decades, gravitational wave (GW) astronomy will become a reality. Low frequency (nanoHz) GWs are detectable through long-term timing observations of the most stable pulsars. Radio observatories worldwide are…

Astrometric measurements provide a unique avenue for constraining the stochastic gravitational wave background (SGWB). In this work, we investigate the application of two neural network architectures, a fully connected network and a graph…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-18 Marienza Caldarola , Gonzalo Morrás , Santiago Jaraba , Sachiko Kuroyanagi , Savvas Nesseris , Juan García-Bellido

Recently, the NANOGrav, PPTA, EPTA, and CPTA collaborations independently reported their evidence of the Stochastic Gravitational Waves Background (SGWB). While the inferred gravitational-wave background amplitude and spectrum are…

General Relativity and Quantum Cosmology · Physics 2023-12-21 Yi-Fu Cai , Xin-Chen He , Xiao-Han Ma , Sheng-Feng Yan , Guan-Wen Yuan

We constrain the primordial gravitational waves from cosmic microwave background (CMB) and stochastic gravitational wave background (SGWB) observations. SGWB provides the latest way to explore the early universe and the cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-25 Jun Li , Guang-Hai Guo

The stochastic gravitational-wave background (SGWB) is expected to arise from the superposition of many independent and unresolved gravitational-wave signals of either cosmological or astrophysical origin. The spectral content of the SGWB…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-27 Vuk Mandic , Eric Thrane , Stefanos Giampanis , Tania Regimbau

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

Astrometric missions like Gaia provide exceptionally precise measurements of stellar positions and proper motions. Gravitational waves traveling between the observer and distant stars can induce small, correlated shifts in these apparent…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Massimo Vaglio , Mikel Falxa , Giorgio Mentasti , Arianna I. Renzini , Adrien Kuntz , Enrico Barausse , Carlo Contaldi , Alberto Sesana

The astrophysical stochastic gravitational wave background (SGWB) is mostly produced from unresolved stellar binary mergers, and the number of events at any moment of time is expected to be Poisson-distributed. The event rate is governed by…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Suvodip Mukherjee , Joseph Silk