Isotropic cosmological singularities in spatially-homogeneous models with a cosmological constant
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
We prove well-posedness of the initial value problem for the Einstein equations for spatially-homogeneous cosmologies with data at an isotropic cosmological singularity, for which the matter content is either a cosmological constant with collisionless particles of a single mass (possibly zero) or a cosmological constant with a perfect fluid having the radiation equation of state. In both cases, with a positive cosmological constant, these solutions, except possibly for Bianchi-type-IX, will expand forever, and be geodesically-complete into the future.
Keywords
Cite
@article{arxiv.0704.2506,
title = {Isotropic cosmological singularities in spatially-homogeneous models with a cosmological constant},
author = {Paul Tod},
journal= {arXiv preprint arXiv:0704.2506},
year = {2008}
}
Comments
22 pages;