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Scalar Induced Gravitational Waves (SIGW) are generated at second order in perturbation theory and to achieve observational relevance, inflationary dynamics must evade the standard slow-roll scenario at small scales, generating large…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Giovanni Piccoli

The scalar induced gravitational waves (SIGWs) is a useful tool to probe the physics in the early universe. To study inflationary models with this tool, we need to know how the waveform of SIGWs is related to the shape of the scalar power…

General Relativity and Quantum Cosmology · Physics 2020-09-01 Fengge Zhang , Arshad Ali , Yungui Gong , Jiong Lin , Yizhou Lu

Scalar-induced gravitational waves (SIGWs) are ubiquitous in many early-Universe processes accompanied by non-Gaussianity; while Gaussian perturbation can generate significant SIGWs, computations of SIGWs can be significantly affected and…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-24 Xiang-Xi Zeng , Zhuan Ning , Rong-Gen Cai , Shao-Jiang Wang

We introduce $\texttt{GWFAST}$, a Fisher information matrix $\texttt{Python}$ code that allows easy and efficient estimation of signal-to-noise ratios and parameter measurement errors for large catalogs of resolved sources observed by…

Instrumentation and Methods for Astrophysics · Physics 2022-10-25 Francesco Iacovelli , Michele Mancarella , Stefano Foffa , Michele Maggiore

The collection of gravitational waves (GWs) that are either too weak or too numerous to be individually resolved is commonly referred to as the gravitational-wave background (GWB). A confident detection and model-driven characterization of…

Gravitational waves (GWs) are useful to test gravitational theories and to probe the physics in the early universe. In this paper, we investigate the scalar induced gravitational waves (SIGWs) in symmetric teleparallel gravity with a…

General Relativity and Quantum Cosmology · Physics 2023-09-15 Fengge Zhang , Jia-Xi Feng , Xian Gao

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 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 analytically calculate the scalar induced gravitational waves (SIGWs) and find a log-dependent slope of SIGW in the infrared regions $(f<f_c)$, namely $n_{\mathrm{GW}}(f)=3-2/\ln(f_c/f)$, and $n_{\mathrm{GW}}(f)=2-2/\ln(f_c/f)$ near the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-28 Chen Yuan , Zu-Cheng Chen , Qing-Guo Huang

Scalar-induced gravitational waves (SIGWs) open a unique window into early-universe physics. While their generation from adiabatic perturbations has been extensively studied, the contribution from isocurvature perturbations remains largely…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-24 Xiang-Xi Zeng

Recently, the NANOGrav, PPTA, EPTA, and CPTA collaborations independently reported their evidence of the Stochastic Gravitational Waves Background (SGWB). While the inferred gravitational-wave background amplitude and spectrum are…

General Relativity and Quantum Cosmology · Physics 2023-12-21 Yi-Fu Cai , Xin-Chen He , Xiao-Han Ma , Sheng-Feng Yan , Guan-Wen Yuan

We investigate scalar-induced gravitational waves (SIGWs) in the framework of spatially covariant gravity (SCG), a broad class of Lorentz-violating modified gravity theories respecting only spatial diffeomorphism invariance. Extending…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Jiehao Jiang , Jieming Lin , Xian Gao

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

Scalar-induced gravitational waves (SIGWs) provide a powerful probe of inflationary dynamics on scales far smaller than those accessible to the cosmic microwave background and large-scale structure. In scenarios with a transient…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-07 Angelo Caravano , Gabriele Franciolini , Sébastien Renaux-Petel

The power-law parametrization for the energy density spectrum of gravitational wave (GW) background is a useful tool to study its physics and origin. While scalar induced secondary gravitational waves (SIGWs) from some particular models fit…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Zhu Yi , Qing Gao , Yungui Gong , Yue Wang , Fengge Zhang

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

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

Many early universe scenarios predict an enhancement of scalar perturbations at scales currently unconstrained by cosmological probes. These perturbations source gravitational waves (GWs) at second order in perturbation theory, leading to a…

In June 2023, multiple pulsar timing array collaborations provided evidence for the existence of a stochastic gravitational wave background. Scalar induced gravitational waves (SIGWs), as one of the most likely sources of stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-07 Jing-Zhi Zhou , Yu-Ting Kuang , Zhe Chang , H. Lü

Recent pulsar timing array collaborations have reported evidence of the stochastic gravitational wave background. The gravitational waves induced by primordial curvature perturbations, referred to as scalar-induced gravitational waves…

General Relativity and Quantum Cosmology · Physics 2025-04-18 Qing-Hua Zhu
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