New exact solutions for a charged fluid sphere in general relativity
type: Item
instance of: scholarly article
title: New exact solutions for a charged fluid sphere in general relativity
zbMATH Open document ID: 0593.76130
DOI: 10.1007/BF00770717
author: J. Sfeila
author: Joseph Hajj-Boutros
published in: General Relativity and Gravitation
publication date: 1986-01-01T00:00:00Z
review text: This paper describes new techniques and results for the problem of the coupled Einstein-Maxwell equations with static spherical charge distributions, which might be a source for the well known exterior Reissner-Nordstrom exact solution. In this paper, the barytropic pressure proportional to density, equation of state is used for the matter. The resulting Einstein-Maxwell equations result in a nonlinear Riccati type equation. The authors show that a known particular solution can be used to reduce the equation to a simple linear one, which can be easily integrated to produce new solutions containing arbitrary constants. This approach is used to generate new solutions from particular ones given by other workers. One possible difficulty is guaranteeing that the resulting solution results in zero pressure at finite radius, which is of course required to join on to the exterior Reissner-Nordström solution.
Mathematics Subject Classification ID: 76Y05
Mathematics Subject Classification ID: 83C15
Mathematics Subject Classification ID: 83C50
zbMATH DE Number: 3954593
zbMATH Keywords: charged perfect fluid
zbMATH Keywords: static spherically symmetric distribution of charged fluids
zbMATH Keywords: barotropic equation of state
zbMATH Keywords: coupled Einstein-Maxwell equations
zbMATH Keywords: static spherical charge distributions
zbMATH Keywords: exterior Reissner-Nordström exact solution
zbMATH Keywords: nonlinear Riccati type equation
zbMATH Keywords: particular solution
zbMATH Keywords: zero pressure at finite radius
MaRDI profile type: Publication
cites work: A solution for a charged sphere in general relativity
cites work: Static charged gas spheres in General Relativity
cites work: On hypersurface-homogeneous space-times
cites work: Static charged perfect fluid in a conformally flat spacetime
description: scientific article; zbMATH DE number 3954593