Physical properties of Tolman-Bayin solutions: some cases of static charged fluid spheres in general relativity

TL;DR

This paper investigates the effects of electric charge on static fluid spheres in general relativity, analyzing their physical properties, mass relations, and electromagnetic mass models based on Tolman-Bayin solutions.

Contribution

It extends Tolman-Bayin solutions by incorporating charge, deriving mass-radius and mass-charge relations, and identifying cases with electromagnetic mass models.

Findings

Charge influences pressure and density distributions.

Derived mass-radius and mass-charge relations for charged spheres.

Identified electromagnetic mass models with purely electromagnetic gravitational mass.

Abstract

In this article, Einstein-Maxwell space-time has been considered in connection to some of the astrophysical solutions as previously obtained by Tolman (1939) and Bayin (1978). The effect of inclusion of charge into these solutions has been investigated thoroughly and also the nature of fluid pressure and mass density throughout the sphere have been discussed. Mass-radius and mass-charge relations have been derived for various cases of the charged matter distribution. Two cases are obtained where perfect fluid with positive pressures give rise to electromagnetic mass models such that gravitational mass is of purely electromagnetic origin.