Isotropic cosmological singularities 1: Polytropic perfect fluid spacetimes
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
We consider the conformal Einstein equations for polytropic perfect fluid cosmologies which admit an isotropic singularity. For the polytropic index gamma strictly greater than 1 and less than or equal to 2 it is shown that the Cauchy problem for these equations is well-posed, that is to say that solutions exist, are unique and depend smoothly on the data, with data consisting of simply the 3-metric of the singularity. The analogous result for gamma=1 (dust) is obtained when Bianchi type symmetry is assumed.
Keywords
Cite
@article{arxiv.gr-qc/9903008,
title = {Isotropic cosmological singularities 1: Polytropic perfect fluid spacetimes},
author = {K. Anguige and K. P. Tod},
journal= {arXiv preprint arXiv:gr-qc/9903008},
year = {2009}
}
Comments
LaTeX, 43 pages, no figures, submitted to Ann. Phys