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For the stochastic gravitational wave backgrounds (SGWBs) search centred at the milli-Hz band, the galactic foreground produced by white dwarf binaries (WDBs) within the Milky Way contaminates the extra-galactic signal severely. Because of…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Shijie Lin , Bin Hu , Xue-Hao Zhang , Yu-Xiao Liu

These lecture notes provide a brief introduction to methods used to search for a stochastic background of gravitational radiation -- a superposition of gravitational-wave signals that are either too weak or too numerous to individually…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Joseph D. Romano

Unresolved sources of gravitational waves can create a stochastic gravitational wave background (SGWB) which may have intrinsic or extrinsic anisotropies. The angular power spectrum is a well-suited estimator for characterizing diffuse…

General Relativity and Quantum Cosmology · Physics 2024-09-27 Deepali Agarwal , Jishnu Suresh , Sanjit Mitra , Anirban Ain

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

Gravitational waves are ripples in the space time fabric when high energy events such as black hole mergers or neutron star collisions take place. The first Gravitational Wave (GW) detection (GW150914) was made by the Laser Interferometer…

Instrumentation and Methods for Astrophysics · Physics 2021-04-13 Yash Chauhan

We consider an anisotropic search for the stochastic gravitational-wave (GW) background by decomposing the gravitational-wave sky into its spherical harmonics components. Previous analyses have used the diffraction limit to define the…

Instrumentation and Methods for Astrophysics · Physics 2022-07-20 Erik Floden , Vuk Mandic , Andrew Matas , Leo Tsukada

Gravitational Waves (GWs) provide a unique way to explore our Universe. The ongoing ground-based detectors, e.g., LIGO, Virgo, and KAGRA, and the upcoming next-generation detectors, e.g., Cosmic Explorer and Einstein Telescope, as well as…

Solar and Stellar Astrophysics · Physics 2024-04-02 Zhenwei Li , Xuefei Chen

LIGO and Virgo have initiated the era of gravitational-wave (GW) astronomy; but in order to fully explore GW frequency spectrum, we must turn our attention to innovative techniques for GW detection. One such approach is to use binary…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Diego Blas , Alexander C. Jenkins

We introduce an efficient and straightforward technique for rapidly detecting gravitational waves from compact binary mergers. We show that this method achieves the low latencies required to alert electromagnetic partners of candidate…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Alexander H. Nitz , Tito Dal Canton , Derek Davis , Steven Reyes

Context. The Astrophysical Gravitational Wave Background (AGWB) is a collective signal of astrophysical gravitational wave sources and is dominated by compact binaries. Its measurement is one of the science goals of current and future…

High Energy Astrophysical Phenomena · Physics 2024-02-14 Seppe Staelens , Gijs Nelemans

The recent announcement of strong evidence for a stochastic gravitational-wave background (SGWB) by various pulsar timing array collaborations has highlighted this signal as a promising candidate for future observations. Despite its…

Instrumentation and Methods for Astrophysics · Physics 2023-12-11 Leo Tsukada

The stochastic gravitational wave background (SGWB) is a rich resource of cosmological information, encoded both in its source statistics and anisotropies induced by propagation effects. We provide a theoretical description of it, without…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-17 Alice Garoffolo

We present \texttt{py5vec}, a Python package for implementing and extending the 5-vector method, used to search for continuous gravitational wave (CW) signals. We also provide a comprehensive theoretical review of the 5-vector method and…

The detection of gravitational waves from the merger of binary black holes by the LIGO Collaboration has opened a new window to astrophysics. With the sensitivities of ground based detectors in the coming years we can only detect the local…

High Energy Astrophysical Phenomena · Physics 2017-06-28 Ilias Cholis

While the third LIGO--Virgo gravitational-wave transient catalog includes 90 signals, it is believed that ${\cal O}(10^5)$ binary black holes merge somewhere in the Universe every year. Although these signals are too weak to be detected…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Xiao-Xiao Kou , Muhammed Saleem , Vuk Mandic , Colm Talbot , Eric Thrane

The astrophysical Stochastic Gravitational Wave Background (SGWB) originates from the mergers of compact binary objects that are otherwise undetected as individual events, along with other sources such as supernovae, magnetars, etc. The…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Mohit Raj Sah , Suvodip Mukherjee

Gravitational Waves (GWs) are tiny ripples in the fabric of space-time predicted by Einstein's General Relativity. Pulsar timing arrays (PTAs) are well poised to detect low frequency ($10^{-9}$ -- $10^{-7}$ Hz) GWs in the near future. There…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 J. A. Ellis , F. A. Jenet , M. A. McLaughlin

We present a systematic study of likelihood functions used for Stochastic Gravitational Wave Background (SGWB) searches. By dividing the data into many short segments, one customarily takes advantage of the Central Limit Theorem to justify…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Gabriele Franciolini , Mauro Pieroni , Angelo Ricciardone , Joseph D. Romano

Context: The astrophysical gravitational wave background (AGWB) is a stochastic gravitational wave (GW) signal that is emitted by different populations of inspiralling binary systems containing compact objects throughout the Universe. In…

High Energy Astrophysical Phenomena · Physics 2024-10-16 Sophie Hofman , Gijs Nelemans

With strong evidence of a common-spectrum stochastic process in the most recent datasets from the NANOGrav Collaboration, the European Pulsar Timing Array (PTA), Parkes PTA, and the International PTA, it is crucial to assess the effects of…