Electromagnetic and anisotropic extension of a plethora of well-known solutions describing relativistic compact objects

TL;DR

This paper introduces a method to generate new exact solutions to Einstein-Maxwell equations for static, anisotropic, charged stars, unifying many known solutions and enabling analysis of their physical properties.

Contribution

It presents a novel technique to produce a broad class of solutions for relativistic stars with anisotropic and electromagnetic effects, allowing easy switching of these effects and unifying existing models.

Findings

New class of exact solutions for anisotropic, charged stars

Ability to switch off electric and anisotropic effects

Many known solutions are special cases of this class

Abstract

We demonstrate a technique to generate new class of exact solutions to the Einstein-Maxwell system describing a static spherically symmetric relativistic star with anisotropic matter distribution. An interesting feature of the new class of solutions is that one can easily switch off the electric and/or anisotropic effects in this formulation. Consequently, we show that a plethora of well known stellar solutions can be identified as sub-class of our class of solutions. We demonstrate that it is possible to express our class of solutions in a simple closed form so as to examine its physical viability for the studies of relativistic compact stars