On the Stephani universes.

Mathematics – Logic

Scientific paper

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Cosmological Models:General Relativity, General Relativity:Cosmological Models

Scientific paper

The spacetimes corresponding to a weak version of the cosmological principle are considered. It appears that, starting from very different criteria, they were already obtained by Stephani and studied by Krasinski and Barnes. The only barotropic universes of this class are the Friedmann-Robertson-Walker ones. Among the others, some admit a general thermodynamic scheme; it is shown that, as for barotropic fluids, such a scheme also imposes additional symmetries.

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