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Scalar induced gravitational waves contribute to the cosmological gravitational wave background. They can be related to the primordial density power spectrum produced towards the end of inflation and therefore are a convenient new tool to…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-10 Raphael Picard , Karim A. Malik

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

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

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

This thesis focuses on gravitational waves (GWs) that arise beyond linear order in cosmological perturbation theory. In recent years, scalar-induced GWs have attracted significant attention because they may serve as the observational…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-13 Raphael Picard

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

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 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

Gravitational waves are inevitably produced by second order terms in cosmological perturbation theory. Most notably, the so-called induced gravitational waves are a window to the small scales part of the primordial spectrum of fluctuations…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Guillem Domènech

Recently, strong evidence for a gravitational wave background has been reported by collaborations of pulsar timing arrays (PTA). In the framework of scalar-induced gravitational waves (SIGWs), we concurrently investigate the second and…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-28 Sai Wang , Zhi-Chao Zhao , Qing-Hua Zhu

We investigate the second order gravitational waves induced by the primordial scalar and tensor perturbations during radiation-dominated era. The explicit expressions of the power spectra of the second order GWs are presented. We calculate…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-19 Zhe Chang , Xukun Zhang , Jing-Zhi Zhou

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

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 study the induced primordial gravitational waves (GW) coming from the effect of scalar perturbation on the tensor perturbation at the second order of cosmological perturbation theory. We use the evolution of the standard model degrees of…

High Energy Physics - Phenomenology · Physics 2020-02-19 Fazlollah Hajkarim , Jürgen Schaffner-Bielich

We calculate for the first time the third-order spectrum of gravitational waves sourced by the amplified scalar field perturbations during inflation using the in-in formalism, and discuss the conditions for the third-order spectrum to be…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Cheng-Jun Fang , Zhi-Zhang Peng , Han-Wen Hu , Zong-Kuan Guo

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 calculate the frequency dependence of gravitational wave background arising at second order of cosmological perturbation theory due to mixing of tensor and scalar modes. The calculation of the induced gravitational background is…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-06 Edgar Bugaev , Peter Klimai

We investigate the first and second order cosmological perturbation equations in f(R) modified gravity theory and provide the equation of motion of second order scalar induced gravitational waves. We find that the effects of modified…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Jing-Zhi Zhou , Yu-Ting Kuang , Di Wu , Fei-Yu Chen , H. Lü , Zhe Chang

This paper explores the physics of second-order gravitational waves (GWs) induced by scalar-tensor perturbation interactions in the radiation-dominated Universe. We investigate the distinctive signatures of these GWs and their detectability…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-04 Pritha Bari , Nicola Bartolo , Guillem Domènech , Sabino Matarrese

We investigate the non-Gaussianity of second-order matter density perturbations induced by primordial gravitational waves (GWs). These tensor-induced scalar modes arise from local fluctuations in the GWs energy density, which is quadratic…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-12 Mariam Abdelaziz , Pritha Bari , Sabino Matarrese , Angelo Ricciardone
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