All static spherically symmetric anisotropic solutions of Einstein’s equations

L. Herrera, J. Ospino, and A. Di Prisco
Phys. Rev. D 77, 027502 – Published 22 January 2008

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.

  • Received 19 October 2007

DOI:https://doi.org/10.1103/PhysRevD.77.027502

©2008 American Physical Society

Authors & Affiliations

L. Herrera1,*, J. Ospino2,†, and A. Di Prisco1,‡

  • 1Escuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, Caracas, Venezuela
  • 2Area de Física Teórica. Facultad de Ciencias, Universidad de Salamanca, Salamanca, Spain

  • *laherrera@cantv.net.ve
  • jhozcrae@usal.es
  • adiprisc@fisica.ciens.ucv.ve

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Issue

Vol. 77, Iss. 2 — 15 January 2008

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