Non-Friedmann cosmological models.

Mathematics – Logic

Scientific paper

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Cosmological Models

Scientific paper

The united de Sitter-Friedmann and de Sitter-Tolman cosmological models have been built. The initial singularity is absent in these models. It is shown that the matching conditions on the hypersurface τ = const are fulfilled for all Friedmann models, but only for a definite kind of nonhomogeneous Tolman models. Cosmological models, where the part of the nonhomogneity on Friedmann basis plays the Schwarzschild solution, have been constructed. The matching of the corresponding solutions on the hypersurface ξ = const is fulfilled.

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