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A general linear gauge-invariant equation for dispersive gravitational waves (GWs) propagating in matter is derived. This equation describes, on the same footing, both the usual tensor modes and the gravitational modes strongly coupled with…

General Relativity and Quantum Cosmology · Physics 2022-08-12 Deepen Garg , I. Y. Dodin

In this paper we construct negatively curved Einstein spaces describing gravitational waves having a solvegeometry wave-front (i.e., the wave-fronts are solvable Lie groups equipped with a left-invariant metric). Using the Einstein…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sigbjorn Hervik

In this manuscript we review the theoretical foundations of gravitational waves in the framework of Albert Einstein's theory of general relativity. Following Einstein's early efforts we first derive the linearised Einstein field equations…

General Relativity and Quantum Cosmology · Physics 2018-05-22 Alain Dirkes

Gravitational waves (GWs) are direct probes of cosmological gravity, sensitive to space-time inhomogeneities along their propagation. The presence of massive objects breaks homogeneity and isotropy, allowing for new interactions between…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Nicola Menadeo , Serena Giardino , Miguel Zumalacárregui

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

Polarization, spin, and helicity are important properties of electromagnetic waves. It is commonly believed that helicity is invariant under the Lorentz transformations. This is indeed so for plane waves and their localized superpositions.…

Optics · Physics 2018-05-08 Konstantin Y. Bliokh

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

It is presented a brief review on gravitational waves (GWs). It is shown how the wave equation is obtained from Einstein's equations and how many and how are the polarization modes of these waves. It is discussed the reasons why GWs sources…

High Energy Astrophysical Phenomena · Physics 2013-05-14 J. C. N. de Araujo

The gravitational waves (GWs) has been a topic of interest for its versatile capabilities of probing several aspects of cosmology and early Universe. Gravitational lensing enhances further the extent of this sort of waves and upgrade our…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Ashadul Halder , Shibaji Banerjee , Debasish Majumdar

In the framework of Einstein-scalar-Gauss-Bonnet (EsGB) gravity, we systematically study gravitational waves (GWs), first produced by remote compact astrophysical sources and then propagating through the flat homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Jared Fier , Henry Han , Bowen Li , Kai Lin , Shinji Mukohyama , Anzhong Wang

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

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

We derive an asymptotic solution of the Einstein field equations which describes the propagation of a thin, large amplitude gravitational wave into a curved space-time. The resulting equations have the same form as the colliding plane wave…

Analysis of PDEs · Mathematics 2009-10-31 G. Ali , J. K. Hunter

It has been known that gravitational waves (GWs) transfer energy to viscous matter through which they propagate, but the effect is too weak to be astrophysically significant. Using linearized perturbations about a Minkowski background, we…

The dynamics of a gravitational wave propagating through a cosmic gauge field are dramatically different than in vacuum. We show that a gravitational wave acquires an effective mass, is birefringent, and its normal modes are a linear…

General Relativity and Quantum Cosmology · Physics 2017-11-22 R. R. Caldwell , C. Devulder , N. A. Maksimova

The present work investigates some exact solutions of the gravitational wave equation in some widely used cosmological spacetimes. The examples are taken from spatially flat and closed isotropic models as well as Kasner metric which is…

General Relativity and Quantum Cosmology · Physics 2021-07-06 Sushovan Mondal , Saif Ali , Shanima S , Narayan Banerjee , Golam Mortuza Hossain

Even if Einstein's General Relativity achieved a great success and overcame lots of experimental tests, it also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Christian Corda

We lay a theoretical foundation in the observation of gravitational waves (GWs) by electromagnetic waves (EMWs) performing a full electromagnetic analysis without any optical approximation. For that, the perturbation of plane EMWs is…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Chan Park

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 paper studies the inferences of wave equations for electromagnetic fields when there are gravitational fields at the same time. In the description with the algebra of octonions, the inferences of wave equations are identical with that…

General Physics · Physics 2010-08-13 Zi-Hua Weng