General Relativistic Static Fluid Solutions with Cosmological Constant

Abstract

This diploma thesis analyses static, spherically symmetric perfect fluid solutions to Einstein's field equations with cosmological constant. Constant density solutions are derived for different values of the cosmological constant. Eleven types of solutions are found, with an overview given at page 41. Furthermore the existence of a global solution is proved for a cosmological constant smaller than 4 Pi the boundary density, which is given by the equation of state.

71 pages, 32 figures; minor layout changes, revised bibliography, one reference added; I would like to thank Prof. Bernd G. Schmidt who made this work possible

References in corpus (2)

• Gravitational Condensate Stars: An Alternative to Black Holes
• On geometry behind Birkhoff theorem

Cited by in corpus (8)

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• Bounds on M/R for static objects with a positive cosmological constant
• On astrophysical bounds of the cosmological constant
• Charged perfect fluids in the presence of a cosmological constant
• A new two-sphere singularity in general relativity
• An exact static two-mass solution using Nariai spacetime
• On the Tolman-Oppenheimer-Volkoff-de Sitter equation