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We investigate the possibility to induce double peaks of gravitational wave(GW) spectrum from primordial scalar perturbations in inflationary models with three inflection points.Where the inflection points can be generated from a polynomial…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-30 Tie-Jun Gao , Xiu-Yi Yang

We explore the possibility of multi-parametric resonances from time varying sound speed during cosmological inflation. In particular, we fix our set-up to the simpler case beyond a single oscillation model already explored in literature:…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-31 Andrea Addazi , Salvatore Capozziello , Qingyu Gan

We study the stochastic gravitational wave (GW) background induced by the primordial scalar perturbation with the spectrum having a lognormal peak of width $\Delta$ at $k=k_*$. We derive an analytical formula for the GW spectrum…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Shi Pi , Misao Sasaki

First-order primordial curvature perturbations are known to induce gravitational waves at the second-order, which can in turn probe the small-scale curvature perturbations near the end of the inflation. In this work, we extend the previous…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-21 Xiang-Xi Zeng , Rong-Gen Cai , Shao-Jiang Wang

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

We study secondary gravitational wave production in Horndenski gravity, when the scalar field dominates the very early universe. We find that higher derivative interactions easily dominate the source term on subhorizon scales and…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Guillem Domènech , Alexander Ganz

Whether or not the primordial gravitational wave (GW) produced during inflation is sufficiently strong to be observable, GWs are necessarily produced from the primordial curvature perturbations in the second order of perturbation. The…

General Relativity and Quantum Cosmology · Physics 2018-07-02 Kazunori Kohri , Takahiro Terada

We study gravitational waves (GWs) induced by non-Gaussian curvature perturbations. We calculate the density parameter per logarithmic frequency interval, $\Omega_\text{GW}(k)$, given that the power spectrum of the curvature perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-29 Rong-gen Cai , Shi Pi , Misao Sasaki

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

The energy density spectrum is an observable of gravitational waves. Divergence has appeared in the energy density spectra of the scalar induced gravitational waves for different gauge fixings. To resolve the discrepancy, we investigate the…

General Relativity and Quantum Cosmology · Physics 2020-10-06 Zhe Chang , Sai Wang , Qing-Hua Zhu

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

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

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

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

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

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

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

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

The energy spectra of gravitational waves (GW) produced in quintessential inflationary models increase in frequency and exhibit a sharp spike around 170 GHz where the associated fraction of critical energy density today stored in relic…

High Energy Physics - Phenomenology · Physics 2009-10-31 Massimo Giovannini

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
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