Compact anisotropic spheres with prescribed energy density
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
New exact interior solutions to the Einstein field equations for anisotropic spheres are found. We utilise a procedure that necessitates a choice for the energy density and the radial pressure. This class contains the constant density model of Maharaj and Maartens (Gen. Rel. Grav., Vol 21, 899-905, 1989) and the variable density model of Gokhroo and Mehra (Gen. Rel. Grav., Vol 26, 75-84, 1994) as special cases. These anisotropic spheres match smoothly to the Schwarzschild exterior and gravitational potentials are well behaved in the interior. A graphical analysis of the matter variables is performed which points to a physically reasonable matter distribution.
Keywords
Cite
@article{arxiv.gr-qc/0504098,
title = {Compact anisotropic spheres with prescribed energy density},
author = {M. Chaisi and S. D. Maharaj},
journal= {arXiv preprint arXiv:gr-qc/0504098},
year = {2009}
}
Comments
22 pages, 3 figures, to appear in Gen. Rel. Grav