Static charged fluid spheres in general relativity

TL;DR

This paper classifies and derives new solutions for static charged fluid spheres in general relativity, providing explicit formulas and correcting previous solutions, enhancing understanding of charged stellar models.

Contribution

It introduces a new classification scheme for interior solutions of charged fluids and derives explicit global solutions, including corrections of known solutions.

Findings

Derived general formulae for charged de Sitter solutions

Provided explicit solutions mainly in elementary functions

Corrected and reviewed known solutions

Abstract

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 main field equations, the other two being universal. General formulae are found for charged de Sitter solutions, the case of constant energy component of the energy-momentum tensor, the case of known pressure (including charged dust) and the case of linear equation of state. Explicit new global solutions, mainly in elementary functions, are given as illustrations. Known solutions are briefly reviewed and corrected.