All static spherically symmetric anisotropic solutions of Einstein's equations
General Relativity and Quantum Cosmology
2008-11-26 v3 Astrophysics
Abstract
An algorithm recently presented by Lake to obtain all static spherically symmetric perfect fluid solutions, is extended to the case of locally anisotropic fluids (principal stresses unequal). As expected, the new formalism requires the knowledge of two functions (instead of one) to generate all possible solutions. To illustrate the method some known cases are recovered.
Keywords
Cite
@article{arxiv.0712.0713,
title = {All static spherically symmetric anisotropic solutions of Einstein's equations},
author = {L. Herrera and J. Ospino and A. Di Prisco},
journal= {arXiv preprint arXiv:0712.0713},
year = {2008}
}
Comments
8 pages Latex. To appear in Phys. Rev. D. New reference added. Some references corrected