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

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.

arXiv comment15 pages, 12 figures

References in corpus (5)

• Static charged perfect fluid spheres in general relativity
• Electrically charged compact stars and formation of charged black holes
• Relativistic Structure, Stability and Gravitational Collapse of Charged Neutron Stars
• Relativistic Charged Spheres II: Regularity and Stability
• Tolman-Bayin type static charged fluid spheres in general relativity

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• Isotropic cases of static charged fluid spheres in general relativity
• A perfect fluid model for compact stars
• Relativistic electromagnetic mass models in spherically symmetric spacetime