Some simple models for quark stars

TL;DR

This paper presents two new exact solutions to Einstein-Maxwell equations modeling charged anisotropic quark stars, generalizing existing models and demonstrating physically reasonable matter variables through graphical analysis.

Contribution

The paper introduces two novel classes of exact solutions for charged anisotropic quark stars, extending previous models with more general conditions.

Findings

Matter variables are well-behaved in the solutions

Solutions generalize existing models like Mark-Harko and Komathiraj-Maharaj

Graphical analysis supports physical plausibility

Abstract

We find two new classes of exact solutions for the Einstein-Maxwell equations. The solutions are obtained by considering charged anisotropic matter with a linear equation of state consistent with quark stars. The field equations are integrated by specifying forms for the measure of anisotropy and a gravitational potential which are physically reasonable. The solutions found generalize the Mark-Harko model and the Komathiraj-Maharaj model. A graphical analysis indicates that the matter variables are well behaved.