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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

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

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

A tensor-type cosmological perturbation, defined as a transverse and traceless spatial fluctuation, is often interpreted as the gravitational waves. While decoupled from the scalar-type perturbations in linear order, the tensor…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-28 Jai-chan Hwang , Donghui Jeong , Hyerim Noh

Primordial scalar curvature perturbations ($\zeta$), typically probed on large cosmological scales via CMB and LSS observations, can be significantly enhanced on smaller scales by various early Universe mechanisms, for instance, non-minimal…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-30 Mauro Pieroni

Primordial density perturbations in the radiation-dominated era of the early Universe are expected to generate stochastic gravitational waves (GWs) due to nonlinear mode coupling. In this \emph{Letter}, we report on a search for such a…

General Relativity and Quantum Cosmology · Physics 2021-03-30 Shasvath J. Kapadia , Kanhaiya Lal Pandey , Teruaki Suyama , Shivaraj Kandhasamy , Parameswaran Ajith

Stochastic gravitational waves can be induced from the primordial curvature perturbations generated during inflation, through scalar-tensor mode coupling at the second order of cosmological perturbation theory. Here we discuss a model of…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-07 Richa Arya , Arvind Kumar Mishra

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

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

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 present analytic integral solutions for the second-order induced gravitational waves (GWs). After presenting all the possible second-order source terms, we calculate explicitly the solutions for the GWs induced by the linear scalar and…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Jinn-Ouk Gong

Primordial gravitational waves (PGWs) generate scalar density perturbations at second order. Since the induced density contrast is quadratic in the tensor field, it is intrinsically non-Gaussian. We study the imprint of this tensor-induced…

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

Gravitational waves (GWs) generated by a first-order phase transition at the electroweak scale are detectable by future space-based detectors like LISA. The lifetime of the resulting shock waves plays an important role in determining the…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Jani Dahl , Mark Hindmarsh , Kari Rummukainen , David Weir

We investigate the evolution of cosmological perturbations generated during de Sitter inflation in the conformal gravity. Primordial gravitational waves are composed of vector and tensor modes. We obtain the constant vector and tensor power…

General Relativity and Quantum Cosmology · Physics 2014-07-03 Yun Soo Myung , Taeyoon Moon

Scalar-induced Gravitational Waves (SIGWs) represent a particular class of primordial signals which are sourced at second-order in perturbation theory whenever a scalar fluctuation of the metric is present. They form a guaranteed Stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-12 Gabriele Perna , Chiara Testini , Angelo Ricciardone , Sabino Matarrese

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

We investigate the gauge invariance of the second order gravitational waves induced by the first order scalar perturbations by following the Lie derivative method. It is shown explicitly that the second order gravitational waves are gauge…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Zhe Chang , Sai Wang , Qing-Hua Zhu

Scalar-Induced Gravitational Waves (SIGWs), second-order tensor modes sourced by first-order scalar fluctuations in General Relativity (GR), are expected to contribute to the Stochastic Gravitational Wave Background (SGWB) potentially…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Anjali Abirami Kugarajh , Marisol Traforetti , Andrea Maselli , Sabino Matarrese , Angelo Ricciardone

We revisit the effects of an early matter-dominated era on gravitational waves induced by scalar perturbations. We carefully take into account the evolution of the gravitational potential, the source of these induced gravitational waves,…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-01 Keisuke Inomata , Kazunori Kohri , Tomohiro Nakama , Takahiro Terada