Generalised isothermal models with strange equation of state

TL;DR

This paper develops new exact solutions for relativistic stellar models with anisotropic pressures and electromagnetic fields, specifically applied to strange quark stars, extending previous models and matching observed mass values.

Contribution

It introduces a general approach to modeling strange stars with anisotropic pressures and charge, providing new exact solutions to Einstein-Maxwell equations.

Findings

Derived regular solutions at stellar center.

Mass estimates align with previous quark star models.

Recovered the isotropic isothermal universe as a special case.

Abstract

We consider the linear equation of state for matter distributions that may be applied to strange stars with quark matter. In our general approach the compact relativistic body allows for anisotropic pressures in the presence of the electromagnetic field. New exact solutions are found to the Einstein-Maxwell system. A particular case is shown to be regular at the stellar centre. In the isotropic limit we regain the general relativistic isothermal universe. We show that the mass corresponds to values obtained previously for quark stars when anisotropy and charge are present.