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Gravitational waves are propagating undulations in the spacetime fabric, which interact very weakly with their environment. In cosmology, gravitational-wave distortions are produced by most of the inflationary scenarios and their…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Despoina Pazouli , Christos G. Tsagas

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

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

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 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

We study the gauge invariant cosmological perturbations up to second order. We show that there are infinite families of gauge invariant variables at both of the first and second orders. The conversion formulae among different families are…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-20 Zhe Chang , Sai Wang , Qing-Hua Zhu

The leading locally observable effect of a long-wavelength metric perturbation corresponds to a tidal field. We derive the tidal field induced by scalar, vector, and tensor perturbations, and use second order perturbation theory to…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-23 Fabian Schmidt , Enrico Pajer , Matias Zaldarriaga

Along the general framework of the gauge invariant perturbation theory developed in the papers [K. Nakamura, Prog. Theor. Phys. {\bf 110} (2003), 723; {\it ibid}, {\bf 113} (2005), 481.], we formulate the second order gauge invariant…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kouji Nakamura

The scalar induced gravitational waves are produced from primordial curvature perturbations in the second order of perturbations. We constrain the fractional energy density of scalar induced gravitational waves from gravitational waves…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-07 Jun Li , Guang-Hai Guo

We consider in detail the problem of gauge dependence that exists in relativistic perturbation theory, going beyond the linear approximation and treating second and higher order perturbations. We first derive some mathematical results…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Marco Bruni , Sabino Matarrese , Silvia Mollerach , Sebastiano Sonego

We study the plane (not necessarily monochromatic) gravitational waves at nonlinear quadratic order on a flat background in vacuum. We show that, in the harmonic gauge, the nonlinear waves are unstable. We argue that, at this order, this…

General Relativity and Quantum Cosmology · Physics 2017-07-10 Fabio Briscese , Paolo Maria Santini

As a low energy effective field theory, classical General Relativity receives an infrared relevant modification from the conformal trace anomaly of the energy-momentum tensor of massless, or nearly massless, quantum fields. The local form…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Emil Mottola

We study cosmological gravitational waves generated during inflation under the influence of a decaying cosmological "constant", in the Transverse-Traceless (TT) gauge. In our approach we consider a non-perturbative contribution of the…

General Relativity and Quantum Cosmology · Physics 2012-02-27 Reyes Luz Marina , Moreno Claudia , Madriz Aguilar Jose Edgar

We investigate the gravitational waves phenomena in the geometric scalar theory of gravity (GSG) that belongs to a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the…

General Relativity and Quantum Cosmology · Physics 2019-05-16 J. D. Toniato , M. Novello

Domain walls represent two-dimensional topological defects that emerge from the spontaneous breaking of discrete symmetries in various new physics models. In this study, we undertake the first calculation of gravitational waves produced by…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Bo-Qiang Lu

Gravitational wave (GW) oscillations occur whenever there are additional tensor modes interacting with the perturbations of the metric coupled to matter. These extra modes can arise from new spin-2 fields (as in e.g. bigravity theories) or…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-22 Jose Beltrán Jiménez , Jose María Ezquiaga , Lavinia Heisenberg

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

Modeling the propagation of gravitational waves (GWs) through matter is complicated by the gauge freedom of linearized gravity in that once nonlinearities are taken into consideration, gauge artifacts can cause spurious acceleration of the…

General Relativity and Quantum Cosmology · Physics 2024-02-28 Deepen Garg , I. Y. Dodin

It is well known that enhancement in the primordial scalar perturbations over small scales generates detectable amplitudes of secondary gravitational waves (GWs), by sourcing the tensor perturbations at the second order. These stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-06 H. V. Ragavendra

We investigate the scalar induced gravitational waves which propagate with a speed different from the speed of light. First, we analytically calculate the expression of the power spectrum of the scalar induced gravitational waves which is…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Jun Li , Guang-Hai Guo