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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

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

An alternative to the standard cold dark matter model has been recently proposed in which a significant fraction of the energy density of the universe is due to a dynamical scalar field ($Q$) whose effective equation-of-state differs from…

Astrophysics · Physics 2009-09-15 R. R. Caldwell , Paul J. Steinhardt

We investigate the gravitational wave background from a first order phase transition in a matter-dominated universe, and show that it has a unique feature from which important information about the properties of the phase transition and…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-29 Gabriela Barenboim , Wan-Il Park

We study first-order scalar and tensor perturbations of Jordan-frame scalar--tensor gravity about a spatially flat FLRW background using the Einstein-like effective-fluid decomposition of the scalar sector. In the scalar-gradient frame, we…

General Relativity and Quantum Cosmology · Physics 2026-05-29 David S. Pereira , Francisco S. N Lobo , José Pedro Mimoso

Gravitational waves (GWs) are powerful probes of new physics in the early Universe. In particular, GWs induced by primordial isocurvature perturbations encode information of novel dynamics beyond the standard $\Lambda$CDM model. Existing…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-08 Yi-Fu Cai , Peizhi Du , Jiahang Zhong

Scalar-induced gravitational waves (SIGWs) have recently attracted considerable interest, both as a possible explanation for the nanohertz signal reported by the Pulsar Timing Array (PTA) collaboration and for their connection with…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-15 William Iania , Angelo Ricciardone

In a suitably chosen essentially unique frame tied to a given observer in a general spacetime, the equation of geodesic deviation can be decomposed into a sum of terms describing specific effects: isotropic (background) motions associated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , J. Podolsky

We quantitatively study how the primordial density fluctuations are imprinted on the anisotropy of the phase transition gravitational wave (PTGW). Generated long before recombination and free from Silk damping, the anisotropic PTGW might…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-28 Yongping Li , Fa Peng Huang , Xiao Wang , Xinmin Zhang

We investigate the linear cosmological perturbations in the context of the so-called energy-momentum squared gravity (EMSG) theory. Recent researches show that the EMSG theory can reproduce viable background cosmological evolution…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-17 Qi-Ming Fu , Xin Zhang

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

An analytical solution for time evolution of the gravitational wave damping in the early Universe due to freely streaming neutrinos is found in the late time regime. The solution is represented by a convergent series of spherical Bessel…

General Relativity and Quantum Cosmology · Physics 2012-08-01 Gavriil Shchedrin

We investigate the new observational constraints on $f(T)$ gravity that arise from the effects of primordial gravitational waves (GWs) on the cosmic microwave background (CMB) anisotropies and the BB spectrum. We first show that on the GWs…

General Relativity and Quantum Cosmology · Physics 2018-11-30 Rafael C. Nunes , Supriya Pan , Emmanuel N. Saridakis

Second-order tensor modes induced by nonlinear gravity are a key component of the cosmological background of gravitational waves. A detection of this background would allow us to probe the primordial power spectrum at otherwise inaccessible…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Atsuhisa Ota , Hayley J. Macpherson , William R. Coulton

The equation which governs the temporal evolution of a gravitational wave (GW) in curved space-time can be treated as the Schrodinger equation for a particle moving in the presence of an effective potential. When GWs propagate in an…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Kostas Kleidis , Demetros B Papadopoulos , Enric Verdaguer , Loukas Vlahos

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

We study gravitational waves induced from the primordial scalar perturbations at second order around the reheating of the Universe. We consider reheating scenarios in which a transition from an early matter dominated era to the radiation…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-25 Keisuke Inomata , Kazunori Kohri , Tomohiro Nakama , Takahiro Terada

We study the scalar induced tensor perturbations at second order during matter domination in seven different gauges. Considering the obtained solution from the Newtonian gauge, we use the gauge transformation law of the scalar induced…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Arshad Ali , Yungui Gong , Yizhou Lu

We present a comprehensive theoretical framework for gravitational wave (GW) propagation and their \textbf{nonlinear backreaction} in $f(R, G)$ modified gravity. By developing a scalar-tensor formulation with two auxiliary fields, we…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Farzad Milani

In this short paper we investigate quantum gravitational effects on Einstein's equations using effective field theory techniques. We consider the leading order quantum gravitational correction to the wave equation. Besides the usual…

High Energy Physics - Theory · Physics 2016-08-24 Xavier Calmet , Iberê Kuntz , Sonali Mohapatra