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We focus on the interaction of a plane gravitational wave with electromagnetic fields and we describe this interaction in the proper detector frame where, thanks to the introduction of Fermi coordinates, it is possible to refer to directly…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Matteo Luca Ruggiero

Motion of test particles in the gravitational field associated with an electromagnetic plane wave is investigated. The interaction with the radiation field is modeled by a force term {\it \`a la} Poynting-Robertson entering the equations of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico

From modern observations of gravitational interactions, it can be inferred that there is much left to discover about the fundamental gravitational field. Since the advent of the General Theory of Relativity over a century ago, we have come…

General Relativity and Quantum Cosmology · Physics 2018-10-11 Ronald Gamble, , K. M. Flurchick

Gravitational waves offer a potent mean to test the underlying theory of gravity. In general theories of gravity, such as scalar-tensor theories, one expects modifications in the friction term and the sound speed in the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Yi-Fu Cai , Guillem Domènech , Alexander Ganz , Jie Jiang , Chunshan Lin , Bo Wang

These notes provide a student-friendly introduction to the theory of gravitational waves in full, non-linear general relativity (GR). We aim for a balance between physical intuition and mathematical rigor and cover topics such as the…

General Relativity and Quantum Cosmology · Physics 2022-01-28 Fabio D'Ambrosio , Shaun D. B. Fell , Lavinia Heisenberg , David Maibach , Stefan Zentarra , Jann Zosso

Exact plane gravitational radiation fields are presented within the framework of general relativity and their properties are described. The physics of nonlinear elliptically polarized plane gravitational waves is developed in close analogy…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Masoud Molaei , Shant Baghram , Bahram Mashhoon

In general relativity (GR), linearized gravitational waves propagating in empty Minkowski spacetime along a fixed spatial direction have the property that the wave front is the Euclidean plane. Beyond the linear regime, exact plane waves in…

General Relativity and Quantum Cosmology · Physics 2018-03-23 Donato Bini , Carmen Chicone , Bahram Mashhoon

We consider theories of gravity that include many coupled scalar fields with arbitrary couplings, in the geometric framework of wave maps. We examine the possibility of obtaining acceptable cosmological solutions without the inclusion of a…

General Relativity and Quantum Cosmology · Physics 2019-06-17 Spiros Cotsakis , John Miritzis , Koralia Tzanni

A gravitational shock wave is a solution to Einstein equations describing the gravitational field of a massless particle. We obtain such a geometry for a particle moving on a AdS_3 brane embedded in a AdS_4 bulk (the lower dimensional…

High Energy Physics - Theory · Physics 2009-11-18 Mohamed Anber , Lorenzo Sorbo

The variational field equations of Brans-Dicke scalar-tensor theory of gravitation are given in a non-Riemannian setting in the language of exterior differential forms over 4-dimensional spacetime. The class of pp-wave metrics together with…

General Relativity and Quantum Cosmology · Physics 2020-03-27 Tekin Dereli , Yorgo Senikoglu

I suggest wave equations for the scalar, pseudoscalar, vector, and pseudovector fields with different masses for spin zero and one states. Tensor, matrix, and quaternion formulations of fields with two mass and spin states are considered.…

High Energy Physics - Theory · Physics 2023-12-27 S. I. Kruglov

Using the Einstein gravitation theory we show how to obtain the basic equations which predict the gravitational waves. This paper was written to graduate and post-graduate students of Physics. We deduce the equations didactically following…

General Relativity and Quantum Cosmology · Physics 2010-01-15 M. Cattani

Some years ago Dray and 't Hooft found the necessary and sufficient conditions to introduce a gravitational shock wave in a particular class of vacuum solutions to Einstein's equations. We extend this work to cover cases where non-vanishing…

High Energy Physics - Theory · Physics 2009-10-28 Konstadinos Sfetsos

What are gravitational waves? How do they propagate? and what is their energy content? These questions are addressed in the first two chapters. In the third chapter the pseudo-Newtonian formalism and its extension is reviewed in general and…

General Relativity and Quantum Cosmology · Physics 2007-07-17 Muhammad Shoaib

Gravitational waves and cosmic expansion are both described in terms of Einstein's general relativity. This article explores the similarities between the two phenomena, as well as some differences, using the fundamental concept of the…

General Relativity and Quantum Cosmology · Physics 2017-03-30 Markus Pössel

Gravitational waves in cylindrically symmetric Einstein gravity are described by an effective energy tensor with the same form as that of a massless Klein- Gordon field, in terms of a gravitational potential generalizing the Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Saeed Mirshekari

Type N spacetimes of the Kundt class are presented as solutions to Einstein's equations sourced by a real scalar field whose equation of motion is conformally invariant and that generalizes the standard conformal scalar field. The specific…

General Relativity and Quantum Cosmology · Physics 2025-04-07 Pedro A. Sánchez

We present some remarkable properties of the symmetry group for gravitational plane waves. Our main observation is that metrics with plane wave symmetry satisfy every system of generally covariant vacuum field equations except the Einstein…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. G. Torre

Exact solutions are obtained in the quadratic theory of gravity with a scalar field for wave-like models of space-time with spatial homogeneity symmetry and allowing the integration of the equations of motion of test particles in the…

General Relativity and Quantum Cosmology · Physics 2022-03-10 K. E. Osetrin , I. V. Kirnos , E. K. Osetrin , A. E. Filippov
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