Charged Ball Static Star Model

TL;DR

This paper develops an exact solution within General Relativity for static, charged fluid spheres using Bondi coordinates, extending previous models with a parabolic mass density distribution.

Contribution

It introduces a new exact solution to Einstein-Maxwell equations for charged static fluid balls with a specific mass density profile.

Findings

Derived an exact Einstein-Maxwell solution for charged fluid spheres.

Extended previous models by incorporating electric charge and Bondi coordinates.

Provides a framework for analyzing charged stellar objects in General Relativity.

Abstract

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 energy-momentum tensor as a direct sum of the perfect Pascal fluid energy-momentum tensor and the energy-momentum tensor of an electromagnetic field is chosen. The exact solution of the Einstein-Maxwell equations as an extension of similar solution with parabolic distribution of mass density is found.