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The circular polarization of the stochastic gravitational wave background (SGWB) is a key observable for characterising the origin of the signal detected by Pulsar Timing Array (PTA) collaborations. Both the astrophysical and the…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-10 N. M. Jiménez Cruz , Ameek Malhotra , Gianmassimo Tasinato , Ivonne Zavala

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

Pulsar timing arrays' hint for a stochastic gravitational-wave background (SGWB) leverages the expectations of a future detection in the millihertz band, particularly with the LISA space mission. However, finding an SGWB with a single…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Nikolaos Karnesis , Quentin Baghi , Jean-Baptiste Bayle , Nikiforos Galanis

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

The recent detection of nanohertz stochastic gravitational-wave backgrounds (SGWBs) by pulsar timing arrays (PTAs) promises unique insights into astrophysical and cosmological origins. However, traditional Markov Chain Monte Carlo (MCMC)…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-12 Junrong Lai , Changhong Li

The next generation of space- and ground-based facilities promise to reveal an entirely new picture of the gravitational wave sky: thousands of galactic and extragalactic binary signals, as well as stochastic gravitational wave backgrounds…

General Relativity and Quantum Cosmology · Physics 2024-07-03 James Alvey , Uddipta Bhardwaj , Valerie Domcke , Mauro Pieroni , Christoph Weniger

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 assess the detectability of a nanohertz gravitational wave (GW) background with respect to additive red and white noise in the timing of millisecond pulsars. We develop detection criteria based on the cross-correlation function summed…

Astrophysics of Galaxies · Physics 2015-05-28 J. M. Cordes , R. M. Shannon

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

We investigate the sensitivity of the Laser Interferometer Space Antenna (LISA) to the anisotropies of the Stochastic Gravitational Wave Background (SGWB). We first discuss the main astrophysical and cosmological sources of SGWB which are…

Several Pulsar Timing Array (PTA) collaborations have recently found evidence for a Gravitational Wave Background (GWB) by measuring the perturbations that this background induces in the time-of-arrivals of pulsar signals. These…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-03 Thomas Konstandin , Anna-Malin Lemke , Andrea Mitridate , Enrico Perboni

We employ the formalism developed in \cite{Mentasti:2023gmg} and \cite{Bartolo_2022} to study the prospect of detecting an anisotropic Stochastic Gravitational Wave Background (SGWB) with the Laser Interferometer Space Antenna (LISA) alone,…

General Relativity and Quantum Cosmology · Physics 2024-02-13 Giorgio Mentasti , Carlo R. Contaldi , Marco Peloso

Precision timing of highly stable milli-second pulsars is a promising technique for the detection of very low frequency sources of gravitational waves. In any single pulsar, a stochastic gravitational wave signal appears as an additional…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Neil J. Cornish , Laura M. Sampson

Pulsar-timing arrays (PTAs) are seeking gravitational waves from supermassive-black-hole binaries, and there are prospects to complement these searches with stellar-astrometry measurements. Theorists still disagree, however, as to whether…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-19 Selim C. Hotinli , Marc Kamionkowski , Andrew H. Jaffe

The nearby universe is expected to create an anisotropic stochastic gravitational wave background (SGWB). Different algorithms have been developed and implemented to search for isotropic and anisotropic SGWB. The aim of this paper is to…

General Relativity and Quantum Cosmology · Physics 2014-05-07 Nairwita Mazumder , Sanjit Mitra , Sanjeev Dhurandhar

Pulsar Timing Array (PTA) collaborations recently reported evidence for the presence of a gravitational wave background (GWB) in their datasets. The main candidate that is expected to produce such a GWB is the population of supermassive…

In this work we derive two computationally efficient frequentist detection statistics that can be used in searches for gravitational-wave bursts with memory in pulsar timing data. By maximizing the likelihood ratio in two different ways we…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Jerry P. Sun , Xavier Siemens , Dustin R. Madison

The nature of the gravitational wave background (GWB) is a key question in modern astrophysics and cosmology, with significant implications for understanding of the structure and evolution of the Universe. We demonstrate how…

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

Several earth-based gravitational-wave (GW) detectors are actively pursuing the quest for placing observational constraints on models that predict the behavior of a variety of astrophysical and cosmological sources. These sources span a…

Astrophysics · Physics 2009-11-10 Sukanta Bose