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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

The primordial spectrum of fluctuations may present a large peak as a result of enhancing features during inflation. This may include, but is not limited to, bumps in the inflaton's potential, phases of ultra-slow-roll or turns in…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-30 Shyam Balaji , Guillem Domenech , Joseph Silk

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

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

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

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 the poltergeist mechanism the enhancement of induced gravitational waves (GWs) occurs due to a sudden transition from an early matter-dominated era to the radiation-dominated era. In this work, we calculate the bispectrum of induced GWs…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Han-Wen Hu , Cheng-Jun Fang , Zhen-Min Zeng , Zong-Kuan Guo

We give an analytical approximation for the energy spectrum of the scalar-induced gravitational waves (SIGWs) generated by a broken power-law power spectrum, and find that both the asymptotic power-law tails and the intermediate peak…

General Relativity and Quantum Cosmology · Physics 2025-04-30 Chong-Zhi Li , Chen Yuan , Qing-guo Huang

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 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

Dissipation is an intrinsic property of the cosmic fluid, leading to the damping of curvature perturbations at small scales. In this paper, we comprehensively study dissipative effects in gravitational waves induced by curvature…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Yan-Heng Yu , Zhe Chang , Sai Wang

We study stochastic gravitational waves generated in a post-inflationary magnetogenesis scenario with time-dependent gauge couplings during inflation and reheating. In this setup, magnetic anisotropic stress directly sources gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-26 Subhasis Maiti

The stochastic gravitational wave (GW) background is secondarily and inevitably induced by the primordial curvature perturbations beyond the first order of the cosmological perturbation theory. We analytically calculate the integration…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Takahiro Terada

We investigate in detail the spectrum of gravitational waves induced by a peaked primordial curvature power spectrum generated in single field inflationary models. We argue that the $f_{\rm NL}$ parameter can be inferred by measuring the…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-15 Vicente Atal , Guillem Domènech

We investigate gravitational waves (GWs) generated in a two-field inflationary model with a non-canonical kinetic term, in which the gravitational Chern-Simons term is coupled to a heavy dynamical field. In such a model, primordial GWs…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Zhi-Zhang Peng , Zhen-Min Zeng , Chengjie Fu , Zong-Kuan Guo

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

Parametric resonance in a single-field inflationary model with a periodic structure on the potential gives rise to curvature perturbations with large amplitudes on small scales, which could result in observable primordial black holes (PBHs)…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-02 Zhi-Zhang Peng , Chengjie Fu , Jing Liu , Zong-Kuan Guo , Rong-Gen Cai

If primordial scalar or tensor perturbations are enhanced on short scales, it may lead to the production of observable gravitational wave signals. These waves may be sourced by scalar-scalar, scalar-tensor or tensor-tensor interactions.…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-24 Raphaël Picard , Matthew W. Davies

The scalar perturbation induced gravitational waves are a probe of the primordial density perturbation spectrum on small scales. In this paper, we show that they can also probe the thermal history of the universe. We assume the universe…

General Relativity and Quantum Cosmology · Physics 2020-08-12 Guillem Domènech , Shi Pi , Misao Sasaki

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