How unique are the Friedmann-Robertson-Walker models of the universe?

Details How unique are the Friedmann-Robertson-Walker models of the universe? How unique are the Friedmann-Robertson-Walker models of the universe?

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19..493c&link_type=abstract

General Relativity and Gravitation, Volume 19, Issue 5, pp.493-497

Mathematics

Logic

4

Cosmology:Friedmann Universe, Cosmology:General Relativity, General Relativity:Cosmology

Scientific paper

By accepting the validity of certain conjectures in classical general relativity and kinetic theory, it is argued that, in a sense, the spatially homogeneous and isotropic Friedmann-Robertson-Walker (FRW) cosmological models are unique. This is accomplished in two steps. First, there is reason to believe that kinetic theory requires perfect fluids to be shear-free. Second, it seems that general relativity constrains expanding shear-free fluids to be irrotational. The uniqueness of the FRW models then follows, since it has already been established that they are the only space-times which represent an expanding shear-free irrotational perfect fluid that are physically reasonable on a global scale.

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