Quark star model with charged anisotropic matter

TL;DR

This paper presents two new exact solutions for charged, anisotropic quark star models within Einstein-Maxwell theory, including a regular interior solution and a physically reasonable singular solution.

Contribution

It introduces novel classes of solutions to Einstein-Maxwell equations with linear quark matter equations of state, expanding the modeling of charged anisotropic quark stars.

Findings

First class is regular and includes Einstein's model as a limit.

Second class has a variable potential with a central singularity.

Graphical analysis shows matter variables are well-behaved.

Abstract

We find two new classes of exact solutions to the Einstein-Maxwell system of equations. The matter distribution satisfies a linear equation of state consistent with quark matter. The field equations are integrated by specifying forms for the measure of anisotropy and a gravitational potential which are physically reasonable. The first class has a constant potential and is regular in the stellar interior. It contains the familiar Einstein model as a limiting case and we can generate finite masses for the star. The second class has a variable potential and singularity at the centre. A graphical analysis indicates that the matter variables are well behaved.