All static spherically symmetric anisotropic solutions of Einstein's equations

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.

8 pages Latex. To appear in Phys. Rev. D. New reference added. Some references corrected

References in corpus (1)

• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects