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On the Stephani universes
Authors:Carles Bona  Bartolomé Coll
Affiliation:(1) Departament de Física, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain;(2) Département de Mécanique Rélativiste, Université de Paris VI, Tour 66, 4, Place Jussieu, 75252 Paris Cedex 05, France
Abstract: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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