General Relativistic Static Fluid Solutions with Cosmological Constant
General Relativity and Quantum Cosmology
2007-05-23 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.gr-qc/0308057,
title = {General Relativistic Static Fluid Solutions with Cosmological Constant},
author = {Christian G. Boehmer},
journal= {arXiv preprint arXiv:gr-qc/0308057},
year = {2007}
}
Comments
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