A note on the uniqueness of the Wyman solution.

Mathematics – Logic

Scientific paper

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Scientific paper

It is pointed out that the barotropic equation of state splits the family of spherically symmetric shearfree expanding perfect fluid solutions of Einstein's equations into two distinct families: the Wyman solution and the Robertson-Walker solutions. The latter ones are not contained in the former as a limiting case. Based on this fact, it is argued that the barotropic equation of state is unnatural in inhomogeneous cosmological models.

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