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We study a set of static solutions of the Einstein equations in presence of a massless scalar field and establish their connection to the Kantowski-Sachs cosmological solutions based on some kind of duality transformations. The physical…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Gaudin , V. Gorini , A. Kamenshchik , U. Moschella , V. Pasquier

An Exact solution of the Einstein-Maxwell field equations for a conformastatic metric with magnetized sources is study. In this context, effective potential are studied in order to understand the dynamics of the magnetic field in galaxies.…

General Relativity and Quantum Cosmology · Physics 2017-04-06 Abraão J. S. Capistrano , Antonio C. Gutiérrez-Piñeres

We consider an Einstein-Maxwell action modified by the addition of three terms coupling the electromagnetic strength to the curvature tensor. The corresponding generalized Maxwell equations imply a variation of the speed of light in a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pierre Teyssandier

Based on a tentative interpretation of gravity as a pressure force, a scalar theory of gravity was previously investigated. It assumes gravitational contraction (dilation) of space (time) standards. In the static case, the same Newton law…

General Physics · Physics 2007-09-05 Mayeul Arminjon

The generalized Maxwell equations are considered which include an additional gradient term. Such equations describe massless particles possessing spins one and zero. We find and investigate the matrix formulation of the first order of…

Mathematical Physics · Physics 2011-07-19 S. I. Kruglov

In this article we study the geodesic motion of test particles and light in the Einstein-Maxwell-Dilaton-Axion black hole spacetime. We derive the equations of motion and present their solutions in terms of the Weierstra{\ss} $\wp$-,…

General Relativity and Quantum Cosmology · Physics 2015-11-13 Kai Flathmann , Saskia Grunau

The construction of exact linearized solutions to the Einstein equations within the Bondi-Sachs formalism is extended to the case of linearization about de Sitter spacetime. The gravitational wave field measured by distant observers is…

General Relativity and Quantum Cosmology · Physics 2016-03-03 Nigel T. Bishop

The gravitational field of a particle of small mass $\mu$ moving through curved spacetime, with metric $g_{ab}$, is naturally and easily decomposed into two parts each of which satisfies the perturbed Einstein equations through $O(\mu)$.…

General Relativity and Quantum Cosmology · Physics 2009-09-01 Steven Detweiler

A discussion is given of the conformal Einstein field equations coupled with matter whose energy-momentum tensor is trace-free. These resulting equations are expressed in terms of a generic Weyl connection. The article shows how in the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Christian Lübbe , Juan Antonio Valiente Kroon

With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over cylindrical systems in Einstein's theory of…

General Relativity and Quantum Cosmology · Physics 2020-05-13 K. Bronnikov , N. O. Santos , Anzhong Wang

In this work, the dynamic of isolated systems in general relativity is described when gravitational radiation and electromagnetic fields are present. In this construction, the asymptotic fields received at null infinity together with the…

General Relativity and Quantum Cosmology · Physics 2017-12-01 G. D. Quiroga

For explicitly time depending mass density, which satisfies a continuity equation, it is shown that Maxwell-like equations for gravitational field follow naturally without any need of General Relativity Theory approximation or related…

General Physics · Physics 2017-11-23 Gustavo V. Lopez

Light undergoes perturbation as gravitational waves pass by. This is shown by solving Maxwell's equations in a spacetime with gravitational waves; a solution exhibits a perturbation due to gravitational waves. We determine the perturbation…

General Relativity and Quantum Cosmology · Physics 2021-07-05 Dong-Hoon Kim , Chan Park

The confrontation between Einstein's gravitation theory and experimental results, notably binary pulsar data, is summarized and its significance discussed. Experiment and theory agree at the 10^{-3} level. All the basic structures of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour

We show that the effective field equations for a recently formulated polynomial affine model of gravity, in the sector of a torsion-free connection, accept general Einstein manifolds---with or without cosmological constant---as solutions.…

General Relativity and Quantum Cosmology · Physics 2016-05-13 Oscar Castillo-Felisola , Aureliano Skirzewski

We study the quantization of a free scalar field when the background metric satisfies Einstein's equations and develops gravitational shock waves.

General Relativity and Quantum Cosmology · Physics 2013-11-25 Marcelo M. Disconzi

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

The purpose of the present work is to extend the earlier results for asymptotically flat vacuum space-times to asymptotically flat solutions of the Einstein-Maxwell equations. Once again, in this case, we get a class of asymptotically…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Ezra T. Newman , Gilberto Silva-Ortigoza

We derive and discuss the physical interpretation of a conformally flat, static solution of the Einstein-Maxwell equations. It is argued that it describes a conformally flat, static spacetime outside a charged spherically symmetric domain…

General Relativity and Quantum Cosmology · Physics 2011-04-08 Oyvind Gron , Steinar Johannesen

The Maxwell extension of the conformal algebra is presented. With the help of gauging the Maxwell-conformal group, a conformally invariant theory of gravity is constructed. In contrast to the conventional conformally invariant actions, our…

High Energy Physics - Theory · Physics 2020-02-21 Salih Kibaroğlu , Oktay Cebecioğlu