Compact stars with linear equation of state in isotropic coordinates
Abstract
We present a new class of spherically symmetric spacetimes for matter distributions with anisotropic pressures in the presence of an electric field. The equation of state for the matter distribution is linear. A class of new exact solutions is found to the EinsteinMaxwell system of equations with an isotropic form of the line element. We achieve this by specifying particular forms for one of the gravitational potentials and the electric field intensity. We regain the masses of the stars PSR J16142230, Vela X1, PSR J1903+327, 4U 182030 and SAX J1808.43658 for particular parameter values. A detailed physical analysis for the star PSR J16142230 indicates that the model is well behaved.
 Publication:

Astrophysics and Space Science
 Pub Date:
 May 2015
 DOI:
 10.1007/s1050901522800
 arXiv:
 arXiv:1512.08988
 Bibcode:
 2015Ap&SS.357...40N
 Keywords:

 Isotropic coordinates;
 EinsteinMaxwell field equations;
 Dense stars;
 General Relativity and Quantum Cosmology
 EPrint:
 11 pages, submitted for publication