Relativistic Compact Objects in Isotropic Coordinates
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
We present a matrix method for obtaining new classes of exact solutions for Einstein's equations representing static perfect fluid spheres. By means of a matrix transformation, we reduce Einstein's equations to two independent Riccati type differential equations for which three classes of solutions are obtained. One class of the solutions corresponding to the linear barotropic type fluid with an equation of state is discussed in detail.
Keywords
Cite
@article{arxiv.gr-qc/0504136,
title = {Relativistic Compact Objects in Isotropic Coordinates},
author = {M. K. Mak and T. Harko},
journal= {arXiv preprint arXiv:gr-qc/0504136},
year = {2009}
}
Comments
9 pages, no figures, accepted for publication in Pramana-Journal of Physics