Charged relativistic spheres with generalized potentials

TL;DR

This paper presents new exact solutions to the Einstein-Maxwell equations for charged relativistic spheres, using generalized potentials and electric fields, which can model charged stars and analyze electromagnetic effects on gravity.

Contribution

It introduces a novel class of solutions with generalized gravitational potentials and electric fields, expanding the set of physically reasonable models for charged spheres in relativity.

Findings

New exact solutions in closed form for Einstein-Maxwell system

Models can describe physically realistic charged spheres

Electromagnetic fields influence gravitational interactions

Abstract

A new class of exact solutions of the Einstein-Maxwell system is found in closed form. This is achieved by choosing a generalised form for one of the gravitational potentials and a particular form for the electric field intensity. For specific values of the parameters it is possible to write the new series solutions in terms of elementary functions. We regain well known physically reasonable models. A physical analysis indicates that the model may be used to describe a charged sphere. The influence of the electromagnetic field on the gravitational interaction is highlighted.