Composite universes

Mathematics – Logic

Scientific paper

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Scientific paper

Gravitational solitons are used in order to match two spatially homogeneous cosmological models with different homogeneity groups. We show that some Bianchi cosmological models, which were considered inappropriate for description of the early universe, might be flattened by a reasonable physical mechanism. Multisoliton cosmological models are also discussed and the normalization conditions for the solitary “amplitudes” are given in order to avoid unphysical behaviour at the spatial infinity. Gravi-soliton-matter interaction is analysed in the case of cosmological models filled with “stiff” irrotational fluid and the behaviour of geometrical and kinematical quantities is studied in detail.

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