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In light of recent interpretations attributing pulsar timing array (PTA) signal to second-order gravitational waves induced by linear cosmological curvature perturbations in the early universe, the overproduction of primordial black holes…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-06 Zhi-Chao Zhao , Sai Wang , Qing-Hua Zhu , Xin Zhang

Large-scale primordial perturbations have been well constrained by current cosmological observations, but the properties of small-scale perturbations remain elusive. This study focuses on second-order induced gravitational waves generated…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-11 Di Wu , Zhi-Chao Li , Peng-Yu Wu , Fei-Yu Chen , Jing-Zhi Zhou

Recently, the NANOGrav, PPTA, EPTA, and CPTA collaborations independently reported their evidence of the Stochastic Gravitational Waves Background (SGWB). While the inferred gravitational-wave background amplitude and spectrum are…

General Relativity and Quantum Cosmology · Physics 2023-12-21 Yi-Fu Cai , Xin-Chen He , Xiao-Han Ma , Sheng-Feng Yan , Guan-Wen Yuan

The evidence of the stochastic gravitational-wave background around the nano-hertz frequency range was recently found by worldwide pulsar timing array (PTA) collaborations. One of the cosmological explanations is the gravitational waves…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-27 Keisuke Harigaya , Keisuke Inomata , Takahiro Terada

In June 2023, multiple pulsar timing array collaborations provided evidence for the existence of a stochastic gravitational wave background. Scalar induced gravitational waves (SIGWs), as one of the most likely sources of stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-07 Jing-Zhi Zhou , Yu-Ting Kuang , Zhe Chang , H. Lü

Gravitational Waves (GW) sourced by second-order primordial curvature fluctuations are among the favored models fitting the recent pulsar timing array (PTA) measurement of a stochastic GW background (SGWB). We study how spectral distortions…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-31 Matteo Tagliazucchi , Matteo Braglia , Fabio Finelli , Mauro Pieroni

The scalar induced gravitational waves are produced from primordial curvature perturbations in the second order of perturbations. We constrain the fractional energy density of scalar induced gravitational waves from gravitational waves…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-07 Jun Li , Guang-Hai Guo

Several pulsar timing array (PTA) experiments such as NANOGrav and PPTA recently reported evidence of a gravitational wave (GW) background at nano-Hz frequency band. This signal can originate from scalar-induced gravitational waves (SIGW)…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-04 Junsong Cang , Yu Gao , Yiming Liu , Sichun Sun

The recent detection of a stochastic gravitational wave background (SGWB) at nanohertz frequencies by pulsar timing arrays (PTAs) has sparked a flurry of interest. Beyond the standard interpretation that the progenitor is a network of…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-06 Bryce Cyr , Thomas Kite , Jens Chluba , J. Colin Hill , Donghui Jeong , Sandeep Kumar Acharya , Boris Bolliet , Subodh P. Patil

There is a growing expectation that the gravitational wave detectors will start probing the stochastic gravitational wave backgrounds in the following years. We explore the spectral shapes of gravitational waves induced to second order by…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-13 Ioannis Dalianis , Konstantinos Kritos

We perform a Bayesian search in the latest Pulsar Timing Array (PTA) datasets for a stochastic gravitational wave (GW) background sourced by curvature perturbations at scales $10^5~\text{Mpc}^{-1}\lesssim k\lesssim 10^8~\text{Mpc}^{-1}$.…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-06 Virgile Dandoy , Valerie Domcke , Fabrizio Rompineve

We study the formation of primordial black holes (PBHs) from the collapse of density perturbations induced by primordial gravitational waves (PGWs). The PGWs' interpretation of the stochastic gravitational wave background (SGWB) detected by…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Utkarsh Kumar

Pulsar timing arrays gathered evidence of the presence of a gravitational wave background around nHz frequencies. If the gravitational wave background was induced by large and Gaussian primordial fluctuations, they would then produce too…

General Relativity and Quantum Cosmology · Physics 2023-07-18 Shyam Balaji , Guillem Domènech , Gabriele Franciolini

Since the gravitational waves were detected by LIGO and Virgo, it has been promising that lots of information about the primordial Universe could be learned by further observations on stochastic gravitational waves background. The studies…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-18 Jing-Zhi Zhou , Xukun Zhang , Qing-Hua Zhu , Zhe Chang

Observational constraints on small-scale primordial gravitational waves are considerably weaker than those on large scales. We focus on scenarios with significant primordial gravitational waves and curvature perturbations on small scales,…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-01 Di Wu , Jing-Zhi Zhou , Yu-Ting Kuang , Zhi-Chao Li , Zhe Chang , Qing-Guo Huang

We revisit the calculation of third order \acp{SIGW} and extend it from a monochromatic primordial power spectrum to a more general log-normal one. We investigate the impact of third order SIGWs on \ac{SNR} of \ac{LISA} and \ac{PTA}…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-28 Zhe Chang , Yu-Ting Kuang , Di Wu , Jing-Zhi Zhou

We perform a consistent calculation of primordial black hole (PBH) mass spectrum and second-order induced gravitational wave (GW) background produced from primordial scalar perturbations in radiation era of the early Universe. It is shown…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-26 Edgar Bugaev , Peter Klimai

Primordial gravitational waves on small scales are not tightly constrained by current cosmological observations, which allows for the possibility of large amplitudes at small scales. We investigate second-order tensor induced gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Fei-Yu Chen , Jing-Zhi Zhou , Di Wu , Zhi-Chao Li , Peng-Yu Wu

In this work, we revisit and evaluate new source terms which contribute to the induced gravitational wave background. We study their respective contributions to the stochastic gravitational wave background by computing their spectral…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-10 Raphael Picard , Luis E. Padilla , Karim A. Malik , David J. Mulryne

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
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