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This work presents a set of coupled Boltzmann equations describing the intensity and polarisation Stokes parameters of the SGWB. Collision terms, which account for gravitational Compton scattering off of massive objects, are also included.…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-01 Lorenzo Pizzuti , Alessandro Tomella , Carmelita Carbone , Matteo Calabrese , Carlo Baccigalupi

Although the expansion of the Universe explicitly breaks the time-translation symmetry, cosmological predictions for the stochastic gravitational wave background (SGWB) are usually derived under the so-called stationary hypothesis. By…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-26 Disrael Camargo Neves da Cunha , Christophe Ringeval

We present an analysis of high-precision pulsar timing data taken as part of the North American Nanohertz Observatory for Gravitational waves (NANOGrav) project. We have observed 17 pulsars for a span of roughly five years using the Green…

The stochastic gravitational wave background (SGWB) can be observed in the nanohertz band using a pulsar timing array (PTA). Here a computationally efficient state-space framework is developed for analysing SGWB data, in which the…

In this study, we investigate the scenario in which the stochastic signal arises from primordial gravitational waves. Within this framework, we consider two distinct possibilities: one in which the pulsar timing arrays (PTAs) signal…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-24 Jun Li , Guanghai Guo , Pengfei Yan

Incredible progress on the theoretical uncertainty of the spatial correlations of the stochastic gravitational wave (GW) background were recently made. However, it remains to realize the impact of this theoretical uncertainty on PTA cross…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Reginald Christian Bernardo , Kin-Wang Ng

We investigate the isotropic and anisotropic components of the Stochastic Gravitational Wave Background (SGWB) originated from unresolved merging compact binaries in galaxies. We base our analysis on an empirical approach to galactic…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Giulia Capurri , Andrea Lapi , Carlo Baccigalupi , Lumen Boco , Giulio Scelfo , Tommaso Ronconi

The stochastic gravitational wave background for pulsar timing arrays is often modeled by a Gaussian ensemble which is isotropic and unpolarized. However, the Universe has a discrete set of polarized gravitational wave sources at specific…

General Relativity and Quantum Cosmology · Physics 2024-05-02 Bruce Allen , Serena Valtolina

A first-order phase transition in the early universe can give an observable stochastic gravitational background (SGWB), which will necessarily have primordial anisotropies across the sky. In multi-field inflationary scenarios, these…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-12 Arushi Bodas , Raman Sundrum

The recent announcement of evidence for a stochastic background of gravitational waves (GWB) in pulsar timing array (PTA) data has piqued interest across the scientific community. A combined analysis of all currently available data holds…

Instrumentation and Methods for Astrophysics · Physics 2025-09-01 Serena Valtolina , Rutger van Haasteren

Alternative theories of gravity predict up to six distinct polarization modes for gravitational waves. Strong gravitational lensing of gravitational waves allows us to probe the polarization content of these signals by effectively…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Ignacio Magaña Hernandez

Pulsar Timing Array (PTA) observations hinted towards the existence of a stochastic gravitational wave background (SGWB) in the nHz frequency band. Still, the nature of the SGWB signal cannot be confidently inferred from current data, and…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-04 Stanislav Babak , Mikel Falxa , Gabriele Franciolini , Mauro Pieroni

The recent start of the fourth observing run of the LIGO-Virgo-KAGRA (LVK) collaboration has reopened the hunt for gravitational-wave (GW) signals, with one compact-binary-coalescence (CBC) signal expected to be observed every few days.…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Federico De Lillo , Jishnu Suresh

Pulsar Timing Arrays (PTAs) have recently found strong evidence for low-frequency gravitational waves (GWs) in the nanohertz frequency regime. As GWs pass, they produce deviations in measured lengths and light-travel times. PTA experiments…

High Energy Astrophysical Phenomena · Physics 2025-05-05 Luke Zoltan Kelley

Pulsar Timing Arrays are playing a crucial role in the ongoing gravitational wave astronomy revolution. The current evidence for a stochastic gravitational wave background (SGWB) at nHz frequencies offers an opportunity to discover…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-07 Chiara Cecchini , Gabriele Franciolini , Mauro Pieroni

Relic gravitational waves (RGWs) , a background originated during inflation, would give imprints on the pulsar timing residuals. This makes RGWs be one of important sources for detection using the method of pulsar timing. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2016-03-16 Ming-Lei Tong , Yong-Heng Ding , Cheng-Shi Zhao , Feng Gao , Bao-Rong Yan , Ting-Gao Yang , Yu-Ping Gao

We search for the signature of an isotropic stochastic gravitational-wave background in pulsar timing observations using a frequency-domain correlation technique. These observations, which span roughly 12 yr, were obtained with the 64-m…

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

A 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. Some cosmological models…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 S. G. Crowder , R. Namba , V. Mandic , S. Mukohyama , M. Peloso

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
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