All static spherically symmetric anisotropic solutions of Einstein's equations

Details All static spherically symmetric anisotropic solutions of Einstein's equations All static spherically symmetric anisotropic solutions of Einstein's equations

2007-12-05

arxiv.org/abs/0712.0713v3

Phys.Rev.D77:027502,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.77.027502

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.

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