Analytical models for quark stars

TL;DR

This paper derives two new classes of exact solutions to Einstein-Maxwell equations modeling quark stars, incorporating electromagnetic fields and avoiding central singularities, thus advancing theoretical understanding of compact quark matter objects.

Contribution

It introduces two novel classes of exact, elementary-function solutions for quark stars with electromagnetic fields, extending previous models and ensuring regularity at the center.

Findings

Solutions are expressed in elementary functions.

One class generalizes the Mak and Harko model.

The second class is free of central singularities.

Abstract

We find two new classes of exact solutions to the Einstein-Maxwell system of equations. The matter content satisfies a linear equation of state consistent with quark matter; a particular form of one of the gravitational potentials is specified to generate solutions. The exact solutions can be written in terms of elementary functions, and these can be related to quark matter in the presence of an electromagnetic field. The first class of solutions generalises the Mak and Harko model. The second class of solutions does not admit any singularities in the matter and gravitational potentials at the centre.