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We show that any magnetostatic axially symmetric solution of the Einstein-Maxwell equations can be endowed with a specific charged fluid source of the Polanco et al type via a simple procedure requiring the knowledge of exclusively the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 I. Cabrera-Munguia , V. S. Manko

Within the framework of General Relativity a model approach to a description of spherical gravitating static fluid balls with an electric charge is considered. The metric interval is written in Bondi's radiation coordinates. The total…

General Relativity and Quantum Cosmology · Physics 2012-01-24 Alexandre M. Baranov , Zakhar V. Vlasov

We use the model approach to the description of spherical gravitating static fluid ball with an electric charge in general relativity. The metric is written in Bondi's coordinates. The total energy-momentum tensor (EMT) is chosen as a sum…

General Relativity and Quantum Cosmology · Physics 2011-12-30 Alexandre M. Baranov , Zakhar V. Vlasov

We present an exact, time-dependent solution for the Einstein field equations that models the coupling between an anisotropic fluid and a magnetic field in an axially symmetric space-time. By carefully selecting the metric components, we…

General Relativity and Quantum Cosmology · Physics 2023-10-25 José Diaz Polanco , José Ayala , Maximiliano Ujevic

We obtain a two-parameter set of solutions, which represents a spherically symmetric space-time with a superposition of a neutral fluid and an electric field. The electromagnetic four-potential of this Einstein-Maxwell space-time is taken…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Mauricio Cataldo , Patricio Salgado

We consider a self-gravitating, rigidly rotating charged perfect fluid immersed in the Wald magnetosphere, constructed out of two linearly independent Killing vectors present in stationary and axially-symmetric spacetimes. We show that in…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Paweł Doruchowski , Patryk Mach , Audrey Trova , Bakhtinur Juraev

We perform a systematic study of rotating charged fluids, and extend several well known theorems regarding static Weyl-type systems which were recently compiled by Lemos and Zanchin [Phys. Rev. D 80, 024010 (2009)] to rotating and…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Marcos L. W. Basso , Vilson T. Zanchin

A model approach to the description of static stars filled with a charged Pascal perfect fluid within the framework of general relativity is investigated. The metric is written in Bondi's radiation coordinates. The gravitational equations…

General Relativity and Quantum Cosmology · Physics 2012-01-24 A. M. Baranov

In this paper we study the isotropic cases of static charged fluid spheres in general relativity. For this purpose we consider two different specialization and under these we solve the Einstein-Maxwell field equations in isotropic…

General Relativity and Quantum Cosmology · Physics 2011-08-25 Basanti Das , Pratap Chandra Ray , Irina Radinschi , Farook Rahaman , Saibal Ray

Binary systems of compact objects with electromagnetic field are modeled by helically symmetric Einstein-Maxwell spacetimes with charged and magnetized perfect fluids. Previously derived thermodynamic laws for helically-symmetric…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Koji Uryu , Eric Gourgoulhon , Charalampos Markakis

Interior perfect fluid solutions for the Reissner-Nordstrom metric are studied on the basis of a new classification scheme. It specifies which two of the fluid's characteristics are given functions and picks up accordingly one of the three…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. V. Ivanov

We provide new exact solutions to the Einstein-Maxwell system of equations which are physically reasonable. The spacetime is static and spherically symmetric with a charged matter distribution. We utilise an equation of state which is…

General Relativity and Quantum Cosmology · Physics 2015-06-12 S. D. Maharaj , P. Mafa Takisa

Emergent concepts from astroparticle physics are incorporated into a classical solution of the Einstein-Maxwell equations for a binary magnetohydrodynamic fluid, in order to describe the final equilibrium state of compact objects infused…

Solar and Stellar Astrophysics · Physics 2012-09-18 Zoran Pazameta

We study exact solutions of the Einstein-Maxwell equations for the interior gravitational field of static spherically symmetric charged compact spheres. The spheres consist of an anisotropic fluid with a charge distribution that gives rise…

General Relativity and Quantum Cosmology · Physics 2022-02-18 Krsna Dev

A general formula for the metric as an explicit function of the generic energy-momentum tensor is given which satisfies static plane symmetric Einstein's equations with cosmological constant.In order to illustrate it, the solutions for the…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Leandro G. Gomes

We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant…

General Physics · Physics 2009-11-26 Daniele Funaro

We present new exact solutions for the Einstein-Maxwell system in static spherically symmetric interior spacetimes. For a particular form of the gravitational potentials and the electric field intensity, it is possible to integrate the…

General Relativity and Quantum Cosmology · Physics 2009-10-16 S. D. Maharaj , S. Thirukkanesh

In this article, Einstein-Maxwell space-time has been considered in connection to some of the astrophysical solutions as previously obtained by Tolman (1939) and Bayin (1978). The effect of inclusion of charge into these solutions has been…

Astrophysics · Physics 2009-06-23 Saibal Ray , Basanti Das , Farook Rahaman , Subharthi Ray

Stationary axisymmetric perfect fluid space-times are investigated using the curvature description of geometries. Attention is focused on space-times with a vanishing electric part of the Weyl tensor. It is shown that the only…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Fodor , M. Marklund , Z. Perjés

A general procedure to find static and axially symmetric, interior solutions to the Einstein equations is presented. All the so obtained solutions, verify the energy conditions for a wide range of values of the parameters, and match…

General Relativity and Quantum Cosmology · Physics 2016-11-07 J. L. Hernandez-Pastora , L. Herrera , J. Martin
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