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 $p=nkT$ 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.

17 pages, 2 figures, LaTeX with revtex style, submitted to General Relativity and Gravitation

References in corpus (2)

• A Redshift-Magnitude Relation for Non-Uniform Pressure Universes
• Exact inhomogeneous cosmologies whose source is a radiation-matter mixture with consistent thermodynamics

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• Dark side of the universe in the Stephani cosmology
• Quantum Stephani Universe in vicinity of the symmetry center
• Off-center observers versus supernovae in inhomogeneous pressure universes
• Accelerated expansion of the universe from the perspective of inhomogeneous cosmology
• Thermodynamics of the universes admitting isotropic radiation
• Geodesic Structure of the Accelerated Stephani Universe