Static perfect fluid balls with given equation of state and cosmological constant
General Relativity and Quantum Cosmology
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
Static and spherically symmetric perfect fluid solutions of Einstein's field equations with cosmological constant are analysed. After showing existence and uniqueness of a regular solution at the centre the extension of this solution is discussed. Then the existence of global solutions with given equation of state and cosmological constant bounded by 4 pi rho_b, where rho_b is the boundary density (given by the equation of state) of the perfect fluid ball, is proved.
Keywords
Cite
@article{arxiv.gr-qc/0409030,
title = {Static perfect fluid balls with given equation of state and cosmological constant},
author = {Christian G. Boehmer},
journal= {arXiv preprint arXiv:gr-qc/0409030},
year = {2007}
}
Comments
13 pages, LaTeX, 1 figure; new reference [7], submitted to the Ukrainian Journal of Physics