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Gravitational waves are considered as metric perturbations about a curved background metric, rather than the flat Minkowski metric since several situations of physical interest can be discussed by this generalization. In this case, when the…

General Relativity and Quantum Cosmology · Physics 2008-12-21 Donato Bini , Salvatore Capozziello , Giampiero Esposito

We study the cosmological propagation of gravitational waves (GWs) beyond general relativity (GR) across homogeneous and isotropic backgrounds. We consider scenarios in which GWs interact with an additional tensor field and use a…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Jose Maria Ezquiaga , Wayne Hu , Macarena Lagos , Meng-Xiang Lin

The detection of gravitational waves (GWs) propagating through cosmic structures can provide invaluable information on the geometry and content of our Universe, as well as on the fundamental theory of gravity. In order to test possible…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Alice Garoffolo , Gianmassimo Tasinato , Carmelita Carbone , Daniele Bertacca , Sabino Matarrese

A formalism is introduced which may describe both standard linearized waves and gravitational waves in Isaacson's high-frequency limit. After emphasizing main differences between the two approximation techniques we generalize the Isaacson…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jiri Podolsky , Otakar Svitek

The aim of these notes is to give an accessible and self-contained introduction to the theory of gravitational waves as the theory of a relativistic symmetric tensor field in a Minkowski background spacetime. This is the approach of a…

General Relativity and Quantum Cosmology · Physics 2017-05-17 Marco de Cesare , R. Oliveri , J. W. van Holten

We study the evolution of gravitational waves for non-singular cosmological solutions within the framework of Born-Infeld inspired gravity theories, with special emphasis on the Eddington-inspired Born-Infeld theory. We review the existence…

High Energy Physics - Theory · Physics 2018-07-04 Jose Beltran Jimenez , Lavinia Heisenberg , Gonzalo J. Olmo , Diego Rubiera-Garcia

In the era of gravitational waves physics, when detections of wave fronts are increasing in number, sensibility, frequencies and distances, gravitational physics has entered a period of maximum activity and brilliance. This has open a new…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Albert Duran-Cabacés , Diego Sáez-Chillón Gómez

Gravitational waves are investigated in Intrinsic Time Geometrodynamics. This theory has a non-vanishing physical Hamiltonian generating intrinsic time development in our expanding universe, and four-covariance is explicitly broken by…

General Relativity and Quantum Cosmology · Physics 2018-09-11 Eyo Eyo Ita , Chopin Soo , Hoi-Lai Yu

A gauge-invariant formulation for the gravitational wave equations is presented. Using this approach, weak, plane wave solutions in a vacuum are derived in various theories. These include general relativity with two modes of polarization…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Junpei Harada

According to electrodynamical equations in curved spacetime we consider the coupling of a linearized weak gravitational wave (GW) to a Gaussian beam passing through a static magnetic field. It is found that unlike the properties of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Fang-Yu Li , Zhang-Han Wu , Yi Zhang

Gravitational waves offer a key insight into the viability of classes of gravitational theories beyond general relativity. The observational constraints on their speed of propagation can provide strong constraints on generalized classes of…

General Relativity and Quantum Cosmology · Physics 2025-09-11 Shivam Kumar Mishra , Jackson Levi Said , B. Mishra

In the weak-field limit of General Relativity, gravitational waves obey linear equations and propagate at the speed of light. These properties of General Relativity are supported by the observation of ultra high energy cosmic rays as well…

High Energy Astrophysical Phenomena · Physics 2017-07-26 Paul M. Chesler , Abraham Loeb

We investigate the propagation of the gravitational waves in a cosmological background. Based on the framework of spatially covariant gravity, we derive the general quadratic action for the gravitational waves. The spatial derivatives of…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Xian Gao , Xun-Yang Hong

The propagation of gravitational waves on the background of a nonperturbative vacuum of a spinor field is considered. It is shown that there are several distinctive features in comparison with the propagation of plane gravitational waves…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Vladimir Dzhunushaliev , Vladimir Folomeev

Refractive gravitational waves are a generalisation of impulsive waves on a null hypersurface in which the metric is discontinuous but a weaker continuity condition for areas holds. A simple example of a plane wave is examined in detail and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John W. Barrett

According to the classical Einstein-Maxwell theory of gravity and electromagnetism, a light-wave traveling in empty space-time is accompanied by a gravitational field of the pp-type. Therefore point masses are scattered by a light wave,…

High Energy Physics - Phenomenology · Physics 2015-05-13 J. W. van Holten

An exact, plane wave solution of the gravitational field equations is investigated. The source stress tensor is represented by an anisotropic null fluid with energy flux to which the energy density $\rho$ and all pressures are finite…

General Relativity and Quantum Cosmology · Physics 2017-01-03 Hristu Culetu

We present an exact plane wave solution of the most general shift-symmetric Horndeski (generalized Galileon) theory. The solution consists of the scalar part, and the gravitational part with two polarization modes. The former is due to the…

General Relativity and Quantum Cosmology · Physics 2012-10-23 Eugeny Babichev

The present study describes, first, an efficient algorithm for computing capillary-gravity solitary waves solutions of the irrotational Euler equations with a free surface and, second, provides numerical evidences of the existence of an…

Fluid Dynamics · Physics 2020-02-20 Didier Clamond , Denys Dutykh , Angel Duran

These notes address the planar gravitational wave solutions of general relativity in empty space-time, and analyze the motion of test particles in the gravitational wave field. Next we consider related solutions of the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. van Holten