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We consider a search for the anisotropic stochastic gravitational-wave background (SGWB) that decomposes the sky map into its spherical harmonics components in order to obtain estimators of the angular power spectrum. Such a search often…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Erik Floden , Alex Granados , Vuk Mandic

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 past decade has been a transformative period for pulsar timing arrays (PTAs) and their search for nanohertz gravitational waves (GWs). This progress has been driven by collective advances in instrumentation for pulsar timing…

High Energy Astrophysical Phenomena · Physics 2026-02-17 Kuo Liu , Siyuan Chen

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

Recent pulsar timing array (PTA) observations have detected nanohertz gravitational waves, likely originating from massive black hole binaries (MBHBs). The detected amplitude is unexpectedly higher than inferred from the electromagnetic…

Accurately estimating the parameters of the nanohertz gravitational-wave background is essential for understanding its origin. The background is typically modeled with a power-law spectrum, parametrized with an amplitude $A$, which…

General Relativity and Quantum Cosmology · Physics 2026-03-25 Valentina Di Marco , Andrew Zic , Ryan M. Shannon , Eric Thrane , Atharva D. Kulkarni

The stochastic gravitational wave background (SGWB) consists of an incoherent collection of waves from both astrophysical and cosmological sources. To distinguish the SGWB from noise, it is essential to verify its quadrupolar nature,…

General Relativity and Quantum Cosmology · Physics 2025-08-22 Yifan Chen , Yuxiang Liu , Jing Shu , Bin Xu , Xiao Xue , Yanjie Zeng

In recent years, several pulsar timing array collaborations have reported evidence for a nanohertz gravitational wave background (GWB). Such a background signal could be produced by supermassive binary black holes, early-Universe processes…

One of the primary gravitational wave (GW) sources for pulsar timing arrays (PTAs) is the stochastic background formed by supermassive black holes binaries (SMBHBs). In this paper, we investigate how the environments of SMBHBs will effect…

Instrumentation and Methods for Astrophysics · Physics 2016-12-14 Sarah J. Vigeland , Xavier Siemens

Hundreds of millions of supermassive black hole binaries are expected to contribute to the gravitational-wave signal in the nanohertz frequency band. Their signal is often approximated either as an isotropic Gaussian stochastic background…

High Energy Astrophysical Phenomena · Physics 2022-12-20 Bence Bécsy , Neil J. Cornish , Luke Zoltan Kelley

Arrays of precisely-timed millisecond pulsars are used to search for gravitational waves with periods of months to decades. Gravitational waves affect the path of radio pulses propagating from a pulsar to Earth, causing the arrival times of…

High Energy Astrophysical Phenomena · Physics 2025-11-13 Stephen R. Taylor

The stochastic cosmological gravitational-wave background (CGWB) provides a direct window to study early universe phenomena and fundamental physics. With the proposed third-generation ground-based gravitational wave detectors, Einstein…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Ashish Sharma , Jan Harms

Detecting stochastic gravitational wave background (SGWB) from cosmic strings is crucial for unveiling the evolutionary laws of the early universe and validating non-standard cosmological models. This study presents the first systematic…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-18 Geng-Chen Wang , Hong-Bo Jin , Xin Zhang

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

Observations have revealed that nearly all galaxies contain supermassive black holes (SMBHs) at their centers. When galaxies merge, these SMBHs form SMBH binaries (SMBHBs) that emit low-frequency gravitational waves (GWs). The incoherent…

Instrumentation and Methods for Astrophysics · Physics 2018-08-14 Sarah J. Vigeland , Kristina Islo , Stephen R. Taylor , Justin A. Ellis

Inspiralling supermassive black-hole binaries (SMBHBs) are expected to be the main source of the nanohertz gravitational-wave background (GWB) targeted by pulsar timing arrays (PTAs). We provide a simple and general analytic expression for…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-22 Yacine Ali-Haïmoud

Identifying the anisotropies in a cosmologically sourced stochastic gravitational wave background (SGWB) would be of significance in shedding light on the nature of primordial inhomogeneities. For example, if SGWB carries isocurvature…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-18 Yanou Cui , Soubhik Kumar , Raman Sundrum , Yuhsin Tsai

Significant evidence for a stochastic gravitational-wave background has recently been reported by several Pulsar Timing Array observations. These studies have shown that, in addition to astrophysical explanations based on supermassive black…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-13 Ran Ding , Chi Tian