All static spherically symmetric anisotropic solutions of Einstein's equations

Journal Article · Tue Jan 15 00:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.027502· OSTI ID:21038993

Herrera, L; Di Prisco, A ^[1]; Ospino, J ^[2]

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1. Escuela de Fisica, Facultad de Ciencias, Universidad Central de Venezuela, Caracas (Venezuela)
2. Area de Fisica Teorica. Facultad de Ciencias, Universidad de Salamanca, Salamanca (Spain)

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.

• OSTI ID: 21038993
• Journal Information: Physical Review. D, Particles Fields, Vol. 77, Issue 2; Other Information: DOI: 10.1103/PhysRevD.77.027502; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
ANISOTROPY
COSMOLOGY
EINSTEIN FIELD EQUATIONS
FLUIDS
IDEAL FLOW
MATHEMATICAL SOLUTIONS
STRESSES