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Working in an arbitrary gauge, we derive the source term for scalar-induced gravitational waves (SIGW) valid during a general reheating epoch. The dominant energy component is allowed to transition smoothly from an inflaton field to a set…

General Relativity and Quantum Cosmology · Physics 2026-05-28 M. Laine , S. Procacci

We investigate the scalar induced gravitational waves (SIGWs) in the Chern-Simons (CS) gravity with a dynamical scalar field during slow roll inflation. Due to the parity violation in the CS term, the SIGWs are generally polarized, which…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Jia-Xi Feng , Fengge Zhang , Xian Gao

The gauge dependence of the scalar induced gravitational waves (SIGWs) generated at the second order imposes a challenge to the discussion of the secondary gravitational waves generated by scalar perturbations. We provide a general formula…

General Relativity and Quantum Cosmology · Physics 2020-12-15 Yizhou Lu , Arshad Ali , Yungui Gong , Jiong Lin , Fengge Zhang

We analytically study the gauge dependence of scalar-induced gravitational waves (SIGWs) sourced by primordial isocurvature perturbations during radiation domination (RD), working across nine gauges. Through analytical integrations of the…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Arshad Ali , Yang Lei , Mudassar Sabir

In this review we look into the gauge-dependence of scalar-induced gravitational waves (SIGWs) that are second-order tensors produced by first-order scalar-modes. The method includes deriving the background, first- and second-order Einstein…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Anjali Abirami Kugarajh

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

Primordial black holes (PBHs) are supposed to form through the gravitational collapse of regions with large density fluctuations. The formation of PBHs inevitably leads to the emission of scalar-induced gravitational wave (SIGW) signals,…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-20 Chen Yuan , De-Shuang Meng , Qing-Guo Huang

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

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

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

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

One of the predictions from simple inflation models is stochastic background of Gravitational Waves (\textbf{GW}), or literally what is called Primordial Gravitational Waves (\textbf{PGW}) with a nearly scale--invariant spectrum. To discuss…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Taimur Mohammadi , Behrooz Malekolkalami

Anisotropic stochastic gravitational wave background (SGWB) serves as a potential probe of the large-scale structure (LSS) of the universe. In this work, we explore the anisotropic SGWB from local ($z < \sim 0.085$) merging stellar mass…

High Energy Astrophysical Phenomena · Physics 2025-07-01 Zhencheng Li , Zhen Jiang , Yun Liu , Xi-Long Fan , Liang Gao , Yun Chen , Tengpeng Xu

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

Primordial non-Gaussianities of the scalar(tensor)-tensor-tensor type supporting a non-trivial squeezed component are known to induce anisotropies in the stochastic gravitational wave background. We derive the explicit form of such…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-23 Ema Dimastrogiovanni , Matteo Fasiello , Lucas Pinol

A perturbation on the background inflaton potential can lead inflation into the ultraslow-roll stage and can thus remarkably enhance the power spectrum ${\cal P}_{\cal R}(k)$ of the primordial curvature perturbation on small scales. Such an…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-15 Ji-Xiang Zhao , Xiao-Hui Liu , Nan Li

We consider anisotropies in the stochastic background of gravitational-waves (SBGW) arising from random fluctuations in the number of gravitational-wave sources. We first develop the general formalism which can be applied to different…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 S. Olmez , V. Mandic , X. Siemens

Solid inflation can support a long period of anisotropic inflation. We calculate the statistical anisotropies in the scalar and tensor power spectra and their cross-correlation in anisotropic solid inflation. The tensor-scalar…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Mohammad Akhshik , Razieh Emami , Hassan Firouzjahi , Yi Wang

We show that the anisotropies in the spectrum of gravitational waves induced by scalar modes after the end of inflation in canonical, single-field models are completely determined by the tilt of the scalar and tensor power spectra. The…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-14 Julián Rey