Singularity-free solutions for anisotropic charged fluids with Chaplygin equation of state

TL;DR

This paper develops new solutions for anisotropic charged fluid spheres in general relativity using a Chaplygin equation of state, providing insights into their physical properties without singularities.

Contribution

It introduces a novel approach by incorporating tangential pressure and a Chaplygin equation of state into Einstein-Maxwell equations for charged anisotropic fluids.

Findings

Solutions are free of singularities.

Matching conditions determine the Chaplygin coefficients.

Physical features of the solutions are briefly analyzed.

Abstract

We extend the Krori-Barua analysis of the static, spherically symmetric, Einstein-Maxwell field equations and consider charged fluid sources with anisotropic stresses. The inclusion of a new variable (tangential pressure) allows the use of a non-linear, Chaplygin-type equation of state with coefficients fixed by the matching conditions at the boundary of the source. Some physical features are briefly discussed.