All static spherically symmetric anisotropic solutions of Einstein's equations

By L. Herrera, J. Ospino, A. Prisco. 2007

257 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a2b89c5658d83c686c740ad0134c88d96c034886

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In Astronomy and Astrophysics

1. A. Marunovi'c
2. S. Ilijić
3. D. Horvat

In Nuclear and High Energy Physics

1. A. Marunovi'c
2. S. Ilijić
3. D. Horvat

Citations in the corpus

• Radial pulsations and stability of anisotropic stars with a quasi-local equation of state (2010, background): “Recently, general algorithms for generating static anisotropic solutions to Einstein equations have been formulated (see [10, 11] and references therein.”