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We study the second order scalar and density perturbations generated by the Gaussian curvature perturbations and primordial gravitational waves in the radiation-dominated era. After presenting all the possible second-order source terms, we…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-30 Zhe Chang , Yu-Ting Kuang , Xukun Zhang , Jing-Zhi Zhou

Recent pulsar timing array collaborations have reported evidence of the stochastic gravitational wave background. The gravitational waves induced by primordial curvature perturbations, referred to as scalar-induced gravitational waves…

General Relativity and Quantum Cosmology · Physics 2025-04-18 Qing-Hua Zhu

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

We derive the complete spectrum of gravitational waves induced by primordial scalar perturbations ranging over all observable wavelengths. This scalar-induced contribution can be computed directly from the observed scalar perturbations and…

High Energy Physics - Theory · Physics 2008-11-26 Daniel Baumann , Kiyotomo Ichiki , Paul J. Steinhardt , Keitaro Takahashi

We discuss the gravitational wave background generated by primordial density perturbations evolving during the radiation era. At second-order in a perturbative expansion, density fluctuations produce gravitational waves. We calculate the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kishore N. Ananda , Chris Clarkson , David Wands

Induced gravitational waves provide a powerful probe of primordial perturbations in the early universe through their distinctive spectral properties. We analyze the spectral energy density $\Omega_{\text{GW}}$ of gravitational waves induced…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Chang Han , Zu-Cheng Chen , Hongwei Yu , Puxun Wu

Scalar metric fluctuations generically source a spectrum of gravitational waves at second order in perturbation theory, poising gravitational wave experiments as potentially powerful probes of the small-scale curvature power spectrum. We…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-20 Peter Adshead , Kaloian D. Lozanov , Zachary J. Weiner

We investigate the gravitational wave background induced by the first order scalar perturbations in the curvaton models. We consider the quadratic and axion-like curvaton potential which can generate the blue-tilted power spectrum of…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-09 Masahiro Kawasaki , Naoya Kitajima , Shuichiro Yokoyama

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

We investigate a novel probe of spatial geometry of the Universe through the observation of gravitational waves (GWs) induced by first order curvature perturbations. The existence of spatial curvature leaves imprints on the gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-18 Utkarsh Kumar , Udaykrishna Thattarampilly , Pankaj Chaturvedi

This paper investigates the effects of nonvanishing spatial curvature on the propagation of primordial gravitational waves produced during inflation. In particular, we consider tensor perturbations over a homogeneous and isotropic…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-29 Rocco D'Agostino , Matteo Califano , Nicola Menadeo , Daniele Vernieri

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

Gravitational waves are messengers carrying valuable information about their sources. For sources at cosmological distances, the waves will contain also the imprint left by the intervening matter. The situation is in close analogy with…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Pablo Laguna , Shane L. Larson , David Spergel , Nicolas Yunes

Primordial isocurvature perturbations, which can arise from various sources in the early Universe, have the potential to leave observable imprints on the gravitational-wave background and provide insights into the nature of primordial…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Chen Yuan , Zu-Cheng Chen , Lang Liu

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

We identify a characteristic pattern in the scalar-induced stochastic gravitational wave background from particle production during inflation. If particle production is sufficiently efficient, the scalar power spectrum exhibits…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-24 Jacopo Fumagalli , Sébastien Renaux-Petel , Lukas T. Witkowski

Gravitational waves sourced by amplified scalar perturbations are a common prediction across a wide range of cosmological models. These scalar curvature fluctuations are inherently nonlinear and typically non-Gaussian. We argue that the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-10 A. J. Iovino , S. Matarrese , G. Perna , A. Ricciardone , A. Riotto

Gravitational waves induced by large primordial curvature fluctuations may result in a sizable stochastic gravitational wave background. Interestingly, curvature fluctuations are gradually generated by initial isocurvature fluctuations,…

General Relativity and Quantum Cosmology · Physics 2023-11-06 Guillem Domènech

Compared to primordial perturbations on large scales, roughly larger than $1$ megaparsec, those on smaller scales are not severely constrained. We revisit the issue of probing small-scale primordial perturbations using gravitational waves…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-20 Keisuke Inomata , Tomohiro Nakama

Scalar-induced gravitational waves (SIGWs) are ubiquitous in many early-Universe processes accompanied by non-Gaussianity; while Gaussian perturbation can generate significant SIGWs, computations of SIGWs can be significantly affected and…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-24 Xiang-Xi Zeng , Zhuan Ning , Rong-Gen Cai , Shao-Jiang Wang
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