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The consortium NANOGrav discovered the isotropic gravitational wave background (GWB) with an amplitude of $h\sim 10^{-15}$ and a frequency of $f\sim 10^{-8}$ Hz using observations of millisecond pulsars. We hypothesize that the GWB is relic…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-22 Nick Gorkavyi

We show that the energy density spectrum of the primordial gravitational waves has characteristic features due to the successive changes in the relativistic degrees of freedom during the radiation era. These changes make the evolution of…

Astrophysics · Physics 2009-11-11 Yuki Watanabe , Eiichiro Komatsu

The imprint of gravitational waves (GWs) on large-scale structures (LSS) is a useful and promising way to detect or to constrain them. Tensor fossils have been largely studied in the literature as an indirect way to detect primordial GWs.…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-19 Pritha Bari , Daniele Bertacca , Nicola Bartolo , Angelo Ricciardone , Serena Giardiello , Sabino Matarrese

Evidence of a gravitational wave (GW) signal has emerged in pulsar timing array (PTA) data, opening a new window into the nanoHz GW Universe. We explore the physics of GW signals potentially explaining the data, with a primary focus on GW…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-04 Alberto Sesana , Daniel G. Figueroa

Networks of cosmic domain walls can form in the early Universe as a consequence of the spontaneous breaking of discrete symmetries. We study the production of a cosmological background of gravitational waves (GWs) from such networks, when…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-18 Alessio Notari , Fabrizio Rompineve , Francisco Torrenti

The latest pulsar timing array data reveals evidence of nanohertz gravitational waves (GWs), which have been explained by both cosmological and astrophysical sources. However, current observations lack the precision needed to differentiate…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-10 Jing Liu

The high-frequency gravitational-wave band is often discussed primarily in the context of new physics, but realistic Standard-Model foregrounds remain incompletely characterized. We investigate pulsar polar caps as a physically motivated…

High Energy Astrophysical Phenomena · Physics 2026-05-21 Anne S. Freise , Jamie I. McDonald , Kirill Riabtsev , Samuel J. Witte

We revisit the possibility that the stochastic common-spectrum process recently detected by the NANOGrav pulsar timing array experiment could be due to primordial gravitational waves (GWs). A na\"{i}ve extrapolation down to interferometer…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-14 Micol Benetti , Leila Lobato Graef , Sunny Vagnozzi

Gravitational waves (GWs) generated by a first-order phase transition at the electroweak scale are detectable by future space-based detectors like LISA. The lifetime of the resulting shock waves plays an important role in determining the…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Jani Dahl , Mark Hindmarsh , Kari Rummukainen , David Weir

Cosmological phase transitions in the primordial universe can produce anisotropic stochastic gravitational wave backgrounds (GWB), similar to the cosmic microwave background (CMB). For adiabatic perturbations, the fluctuations in GWB follow…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 Soubhik Kumar , Raman Sundrum , Yuhsin Tsai

The existence of a primordial stochastic gravitational wave background (SGWB) is a common prediction in various models of the early Universe. Despite constraints at different frequency ranges and claims of detection in the nHz range by…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-24 Matteo Braglia , Mauro Pieroni , Sylvain Marsat

Basic aspects of the background of gravitational waves and its mathematical characterization are reviewed. The spectral energy density parameter $\Omega(f)$, commonly used as a quantifier of the background, is derived for an ensemble of…

General Relativity and Quantum Cosmology · Physics 2011-10-05 Pablo A. Rosado

Primordial magnetic fields (PMFs) can source gravitational wave background (GWB). In this paper, we investigate the possible constraints on small-scale PMF considering the ongoing and forthcoming direct detection observations of GWB. In…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-18 Shohei Saga , Hiroyuki Tashiro , Shuichiro Yokoyama

Recent pulsar timing array results, including the NANOGrav 15-year data set, show evidence for a stochastic gravitational-wave background (GWB) in the nanohertz band. We present a Bayesian framework to compare three possible origins: (i) a…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-28 Mengshen Wang , Zuocheng Zhang , Hua Xu

We apply state-of-the-art, likelihood-free statistical inference (machine-learning-based) techniques for reconstructing the spectral shape of a gravitational wave background (GWB). We focus on the reconstruction of an arbitrarily shaped…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-09 Androniki Dimitriou , Daniel G. Figueroa , Bryan Zaldivar

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…

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, on the astrophysics of compact objects and,…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-20 Lorenzo Valbusa Dall'Armi , Angelo Ricciardone , Nicola Bartolo , Daniele Bertacca , Sabino Matarrese

Motivated by the new heavy dark matter production mechanism from cosmic phase transition, we propose a novel mechanism for the generation of microscopic gravitational waves (GWs) during cosmological first-order phase transitions arising…

High Energy Physics - Phenomenology · Physics 2026-02-12 Dayun Qiu , Siyu Jiang , Fa Peng Huang

A large primordial density perturbation of the Hubble scale will gravitationally collapse, generating an outgoing sound shell, whether or not a primordial black hole (PBH) is formed. In this Letter, we report a hybrid numerical analysis of…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Xiang-Xi Zeng , Zhuan Ning , Zi-Yan Yuwen , Shao-Jiang Wang , Heling Deng , Rong-Gen Cai

The primordial gravitational waves (\textbf{PGW}) have been generated by inflationary amplification of the primordial (quantum) fluctuations. It is true that they have not been recorded directly so far, but their spectrum can help a lot in…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Taimur Mohammadi , Behrooz Malekolkalami , Khabat Ghamari
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