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A spherically symmetric comoving fluid solution of Einstein's equations is adapted for cosmological application by extending the geometry of standard FRW cosmology using a generalised curvature term. The resulting model retains many of the…

General Relativity and Quantum Cosmology · Physics 2009-09-15 Ron Wiltshire

This paper examines the structure of electric fields and space-times created by extended finite distributions of irrotational static and spherically-symmetric charge. The resulting electric fields are found to source features in space-time…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Erik W. Lentz

We investigate spherically symmetric cosmological models in Einstein-aether theory with a tilted (non-comoving) perfect fluid source. We use a 1+3 frame formalism and adopt the comoving aether gauge to derive the evolution equations, which…

General Relativity and Quantum Cosmology · Physics 2015-12-08 Alan A. Coley , Genly Leon , Patrik Sandin , Joey Latta

Electromagnetic mass models are proved to exist in higher dimensional theory of general relativity corresponding to charged dust distribution. Along with the general proof a specific example is also sited as a supporting candidate.

Astrophysics · Physics 2009-11-13 Saibal Ray , Sumana Bhadra , G. Mohanti

In this paper we discuss global existence of the solution of the Maxwell and Newton system of equations, describing the interaction of a rigid charge distribution with the electromagnetic field it generates. A unique solution is proved to…

Analysis of PDEs · Mathematics 2014-11-24 Marco Falconi

We propose a new model of a {\it gravastar} admitting conformal motion. While retaining the framework of the Mazur-Mottola model, the gravastar is assumed to be internally charged, with an exterior defined by a Reissner-Nordstr{\"o}m rather…

General Relativity and Quantum Cosmology · Physics 2011-06-06 A A Usmani , Farook Rahaman , Saibal Ray , K K Nandi , Peter K. F. Kuhfittig , Sk. A Rakib , Z Hasan

We provide for the first time the exact solution of Maxwell's equations for a massless charged particle moving on a generic trajectory at the speed of light. In particular we furnish explicit expressions for the vector potential and the…

High Energy Physics - Theory · Physics 2015-06-18 Francesco Azzurli , Kurt Lechner

We consider the general situation of a compact relativistic body with anisotropic pressures in the presence of the electromagnetic field. The equation of state for the matter distribution is linear and may be applied to strange stars with…

General Relativity and Quantum Cosmology · Physics 2009-01-16 S. Thirukkanesh , S. D. Maharaj

We show that there exists a choice of gauge in which the electromagnetic 4-potential may be written as the difference of two 4-velocity vector fields describing the motion of a two-component space-filling relativistic fluid. Maxwell's…

Classical Physics · Physics 2010-12-13 Sabbir Rahman

A cornerstone of physics, Maxwell's theory of electromagnetism, apparently contains a fatal flaw. The standard expressions for the electromagnetic field energy and self-mass of an electron of finite extension do not obey Einstein's famous…

Classical Physics · Physics 2023-02-01 Murat Khokonov , Jens Ulrik Andersen

We find a new property in $W^2$-conformal gravity in spherical symmetry. We demonstrate that the charge of the electromagnetic field varies with respect to the partial scaling symmetry (conformal transformations in subspaces of a spacetime)…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Hongsheng Zhang

We first investigate the form the General Relativity Theory would have taken had the gravitational mass and the inertial mass of material objects been different. We then extend this analysis to electromagnetism and postulate an equivalence…

General Relativity and Quantum Cosmology · Physics 2020-01-09 Murat Özer

We discuss possible observational manifestations of static, spherically symmetric solutions of a class of multidimensional theories of gravity, which includes the low energy limits of supergravities and superstring theories as special…

General Relativity and Quantum Cosmology · Physics 2015-06-25 K. A. Bronnikov , V. N. Melnikov

We show that Guilfoyle's exact solutions of the Einstein-Maxwell equations for spherical symmetric static electrically charged matter with a Reissner-Nordstr\"om exterior possess a bewildering plethora of different types of solutions. For…

General Relativity and Quantum Cosmology · Physics 2020-09-18 José P. S. Lemos , Vilson T. Zanchin

We investigate the motion of a massive particle around a spherically symmetric black hole surrounded by a stationary and radial inflow of perfect fluid. The background spacetime is modelled as a spherically symmetric solution to the…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Ariadna Uxue Palomino Ylla , Yasutaka Koga , Chul-Moon Yoo

The conformal field equations are used to discuss the local existence of spherically symmetric solutions to the Einstein-Yang-Mills system which behave asymptotically like the anti-de Sitter spacetime. By using a gauge based on conformally…

General Relativity and Quantum Cosmology · Physics 2015-06-19 C. Lübbe , J. A. Valiente Kroon

The magnetic field due to an axially symmetric, hot and highly conducting plasma, taken as an ideal magnetohydrodynamic fluid, surrounding a slow rotating compact gravitational object is studied within the context of Einstein-Maxwell field…

General Relativity and Quantum Cosmology · Physics 2017-10-02 Babur M. Mirza

We perform a study of the gravitating electrostatic spherically symmetric (G-ESS) solutions of Einstein field equations minimally coupled to generalized non-linear abelian gauge models in three space dimensions. These models are defined by…

High Energy Physics - Theory · Physics 2010-04-29 J. Diaz-Alonso , D. Rubiera-Garcia

Vacuum spherically symmetric Einstein gravity in $N\ge 4$ dimensions can be cast in a two-dimensional conformal nonlinear sigma model form by first integrating on the $(N-2)$-dimensional (hyper)sphere and then performing a canonical…

High Energy Physics - Theory · Physics 2010-11-19 Marco Cavaglia , Carlo Ungarelli

We study spherically symmetric solutions to the Einstein field equations under the assumption that the space-time may possess an arbitrary number of spatial dimensions. The general solution of Synge is extended to describe systems of any…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Das , A. DeBenedictis
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