New Physically Realistic Solutions for Charged Fluid Spheres

TL;DR

This paper introduces a new class of solutions to Einstein-Maxwell equations for charged fluid spheres, some of which meet physical criteria like causal sound speed, extending previous uncharged models.

Contribution

It presents novel solutions for charged fluid spheres that satisfy physical conditions, expanding the set of realistic models in relativistic astrophysics.

Findings

Some solutions satisfy causality and physical plausibility.

Charged solutions generalize uncharged models by Bayin and Tolman.

Only uncharged solutions fully meet physical realism criteria.

Abstract

A new class of solutions to the coupled, spherically symmetric Einstein-Maxwell equations for a compact material source is constructed. Some of these solutions can be made to satisfy a number of requirements for being physically relevant, including having a causal speed of sound. In the case of vanishing charge these solutions reduce to those found by Bayin and Tolman. Only the latter can be considered as having physically realistic properties.