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With pulsar timing arrays (PTAs) having observed a gravitational wave background (GWB) at nanohertz frequencies, the focus of the field is shifting towards determining and characterizing its origin. While the primary candidate is a…

Instrumentation and Methods for Astrophysics · Physics 2025-09-10 Kyle A. Gersbach , Stephen R. Taylor , Bence Bécsy , Anna-Malin Lemke , Andrea Mitridate , Nihan Pol

As ground-based gravitational-wave (GW) detectors improve in sensitivity, gravitational-wave background (GWB) signals will progressively become detectable. Currently, searches for the GWB model the signal as a power law; however, deviations…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Taylor Knapp , Patrick M. Meyers , Arianna I. Renzini

Obtaining a faithful source intensity distribution map of the sky from noisy data demands incorporating known information of the expected signal, especially when the signal is weak compared to the noise. We introduce a widely used procedure…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Sambit Panda , Swetha Bhagwat , Jishnu Suresh , Sanjit Mitra

Recent findings from several Pulsar Timing Array (PTA) collaborations point to the existence of a Gravitational Wave Background (GWB) at nanohertz frequencies. A key next step towards characterizing this signal and identifying its origin is…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-16 Thomas Konstandin , Anna-Malin Lemke , Andrea Mitridate , Enrico Perboni

A detection of the stochastic gravitational-wave background (SGWB) from unresolved compact binary coalescences could be made by Advanced LIGO and Advanced Virgo at their design sensitivities. However, it is possible for magnetic noise that…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Patrick M. Meyers , Katarina Martinovic , Nelson Christensen , Mairi Sakellariadou

We study the effects of pre-recombination physics on the Stochastic Gravitational Wave Background (SGWB) anisotropies induced by the propagation of gravitons through the large-scale density perturbations and their cross-correlation with…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-17 Matteo Braglia , Sachiko Kuroyanagi

We present a refined estimation of the stochastic gravitational wave background (SGWB) based on observed dual active galactic nuclei (AGNs) together with AGN X-ray luminosity functions, in light of recent Pulsar Timing Array detections of…

High Energy Astrophysical Phenomena · Physics 2026-01-14 Katsunori Kusakabe , Yoshiyuki Inoue , Daisuke Toyouchi

Standard perturbative calculations of scalar-induced gravitational waves (SIGWs) have neglected nonperturbative effects in the large-amplitude regime. We develop a hybrid numerical framework to signify nonperturbative effects on the…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Zhuan Ning , Zi-Yan Yuwen , Xiang-Xi Zeng , Rong-Gen Cai , Shao-Jiang Wang

The high redshift merger rate and mass distribution of black hole binaries provide a direct probe to distinguish astrophysical black holes (ABHs) and primordial black holes (PBHs), which can be studied using the Stochastic…

High Energy Astrophysical Phenomena · Physics 2026-05-18 Mohit Raj Sah , Suvodip Mukherjee

The standard noise model in gravitational wave (GW) data analysis assumes detector noise is stationary and Gaussian distributed, with a known power spectral density (PSD) that is usually estimated using clean off-source data. Real GW data…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Matthew C. Edwards , Renate Meyer , Nelson Christensen

We develop a powerful analytical formalism for calculating the energy density of the stochastic gravitational wave background, including a full description of its anisotropies. This is completely general, and can be applied to any…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-19 Alexander C. Jenkins , Mairi Sakellariadou

We develop a general method for power spectrum analysis of three dimensional redshift surveys. We present rigorous analytical estimates for the statistical uncertainty in the power and we are able to derive a rigorous optimal weighting…

Astrophysics · Physics 2011-05-05 Hume A. Feldman , Nick Kaiser , John A. Peacock

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

A population of compact object binaries emitting gravitational waves that are not individually resolvable will form a stochastic gravitational wave signal. While the expected spectrum over population realizations is well known from Phinney…

General Relativity and Quantum Cosmology · Physics 2024-08-06 William G. Lamb , Stephen R. Taylor

We explore power spectrum estimation in the context of a Gaussian approximation to the likelihood function. Using the Saskatoon data, we estimate the power averaged through a set of ten filters designed to make the errors on the power…

Astrophysics · Physics 2007-05-23 Lloyd Knox , J. Richard Bond , Andrew H. Jaffe

We consider the effects of relaxing the assumption that gravitational waves composing the stochastic gravitational wave background (SGWB) are uncorrelated between frequencies in analyses of the data from Pulsar Timing Arrays (PTAs). While…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-30 Wayne Hu , Qiuyue Liang , Meng-Xiang Lin , Mark Trodden

Scalar-Induced Gravitational Waves (SIGWs), second-order tensor modes sourced by first-order scalar fluctuations in General Relativity (GR), are expected to contribute to the Stochastic Gravitational Wave Background (SGWB) potentially…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Anjali Abirami Kugarajh , Marisol Traforetti , Andrea Maselli , Sabino Matarrese , Angelo Ricciardone

One of the predictions from simple inflation models is a stochastic background of gravitational waves (or literally what is called the Primordial Gravitational Waves (\textbf{PGW})) with a nearly scale--invariant spectrum. In this work, we…

General Relativity and Quantum Cosmology · Physics 2022-07-19 Taimur Mohammadi , Behrooz Malekolkalami

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

With the goal of attempting to observe a stochastic gravitational wave background (SGWB) with LISA, the spectral separability of the cosmological and astrophysical backgrounds is important to estimate. We attempt to determine the level with…

General Relativity and Quantum Cosmology · Physics 2021-10-08 Guillaume Boileau , Nelson Christensen , Renate Meyer , Neil J. Cornish
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