An Exact Interior Extension of a Static Solution for an Electric Charged Ball

TL;DR

This paper presents an exact solution to the Einstein-Maxwell equations describing a static, charged fluid sphere in general relativity, extending previous models with a specific mass density distribution.

Contribution

It introduces a new exact interior solution for a charged static fluid sphere using Bondi coordinates, expanding on prior models with parabolic mass density.

Findings

Derived an exact solution for a charged fluid sphere in GR

Extended previous models with a new mass density distribution

Provides a framework for analyzing charged astrophysical objects

Abstract

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 of the EMT of a Pascal perfect fluid and that of the electromagnetic field. An exact solution of the Einstein-Maxwell equations is found, extending a similar solution with parabolic mass density distribution.