Charged Analogue of FinchSkea Stars
Abstract
We present solutions to the EinsteinMaxwell system of equations in spherically symmetric gravitational fields for static interior spacetimes with a specified form of the electric field intensity. The condition of pressure isotropy yields three category of solutions. The first category is expressible in terms of elementary functions and does not have an uncharged limit. The second category is given in terms of Bessel functions of halfinteger order. These charged solutions satisfy a barotropic equation of state and contain FinchSkea uncharged stars. The third category is obtained in terms of modified Bessel functions of halfinteger order and does not have an uncharged limit. The physical features of the charged analogue of the FinchSkea stars are studied in detail. In particular, the condition of causality is satisfied and the speed of sound does not exceed the speed of light. The physical analysis indicates that this analogue is a realistic model for static charged relativistic perfect fluid spheres.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 2006
 DOI:
 10.1142/S0218271806008826
 arXiv:
 arXiv:grqc/0605070
 Bibcode:
 2006IJMPD..15.1311H
 Keywords:

 Exact solutions;
 EinsteinMaxwell equations;
 charged matter;
 General Relativity and Quantum Cosmology
 EPrint:
 17 pages, To appear in Int. J. Mod. Phys. D