Generalised compact spheres in electric fields
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
We present exact solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields with a specified form of the electric field intensity. The condition of pressure isotropy yields a difference equation with variable, rational coefficients. In an earlier treatment this condition was integrated by first transforming it to a hypergeometric equation. We demonstrate that it is possible to obtain a more general class of solutions to the Einstein-Maxwell system both in the form of special functions and elementary functions. Our results contain particular solutions found previously including models of charged relativistic spheres and uncharged neutron star models.
Keywords
Cite
@article{arxiv.0708.3325,
title = {Generalised compact spheres in electric fields},
author = {S. D. Maharaj and K. Komathiraj},
journal= {arXiv preprint arXiv:0708.3325},
year = {2008}
}
Comments
16 pages, To appear in Class. Quantum Grav