%0 Journal Article %T Towards a physical interpretation for the Stephani Universes %A Roberto A. Sussman %J Physics %D 1999 %I arXiv %R 10.1023/A:1001934118532 %X 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 $p=n k T$ 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. %U http://arxiv.org/abs/gr-qc/9908019v1