New Physically Realistic Solutions for Charged Fluid Spheres

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.