Eleven spherically symmetric constant density solutions with cosmological constant
General Relativity and Quantum Cosmology
2007-05-23 v3
Abstract
Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on as an exterior field. Another solution describes a decreasing pressure model with exterior Schwarzschild-de Sitter spacetime having decreasing group orbits at the boundary. Two further types generalise the Einstein static universe. The other new solution is unphysical, it is an increasing pressure model with a geometric singularity.
Keywords
Cite
@article{arxiv.gr-qc/0312027,
title = {Eleven spherically symmetric constant density solutions with cosmological constant},
author = {Christian G. Boehmer},
journal= {arXiv preprint arXiv:gr-qc/0312027},
year = {2007}
}
Comments
19 pages, 5 figures, 1 table, revised bibliography, corrected eqn. (3.11), typos corrected, two new references