Quark star model with charged anisotropic matter
Abstract
We find two new classes of exact solutions to the EinsteinMaxwell 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.
 Publication:

Astrophysics and Space Science
 Pub Date:
 December 2014
 DOI:
 10.1007/s1050901421314
 arXiv:
 arXiv:1412.8150
 Bibcode:
 2014Ap&SS.354..517S
 Keywords:

 Gravitational potential;
 Linear equation of state;
 Quark matter;
 Measure of anisotropy;
 General Relativity and Quantum Cosmology
 EPrint:
 9 pages, Submitted for publication