Classes of exact static spheroidal Einstein-Maxwell solutions

TL;DR

This paper investigates how electromagnetic fields influence the shape and structure of static charged fluid objects in general relativity, focusing on spheroidal configurations and the effects of anisotropic stresses.

Contribution

It introduces a classification of exact spheroidal solutions to the Einstein-Maxwell equations for static charged fluids, highlighting electromagnetic effects on object morphology.

Findings

Electromagnetic fields significantly affect the shape of self-gravitating objects.

Anisotropic stresses from electromagnetic fields alter the structure of static charged configurations.

The study provides new exact solutions for spheroidal Einstein-Maxwell systems.

Abstract

In this paper we study the spheroidal cases of static charged fluid configurations in general relativity. We consider the effect of the anisotropic stresses of electromagnetic field on the shape of static charged self-graviting objects. It is shown that electromagnetic fields can have significant effect on the structure and properties of self-graviting objects.