Towards a physical interpretation for the Stephani Universes
Abstract
A physicaly reasonable interpretation is provided for the perfect fluid, sphericaly symmetric, conformally flat ``Stephani Universes''. The free parameters of this class of exact solutions are determined so that the ideal gas relation is identicaly fulfiled, while the full equation of state of a classical monatomic ideal gas and a matter-radiation mixture holds up to a good approximation in a near dust, matter dominated regime. Only the models having spacelike slices with positive curvature admit a regular evolution domain that avoids an unphysical singularity. In the matter dominated regime these models are dynamicaly and observationaly indistinguishable from ``standard'' FLRW cosmology with a dust source.
Keywords
Cite
@article{arxiv.gr-qc/9908019,
title = {Towards a physical interpretation for the Stephani Universes},
author = {Roberto A. Sussman},
journal= {arXiv preprint arXiv:gr-qc/9908019},
year = {2015}
}
Comments
17 pages, 2 figures, LaTeX with revtex style, submitted to General Relativity and Gravitation