Spatially inhomogeneous hydrodynamic motions in anisotropic cosmology

Mathematics

Scientific paper

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Anisotropy, Cosmology, Hydrodynamic Equations, Relativistic Theory, Astronomical Models, Big Bang Cosmology, Functions (Mathematics), Partial Differential Equations, Relativistic Velocity, Vacuum

Scientific paper

Solutions of relativistic hydrodynamic equations are found and analyzed for spatially inhomogeneous motions of matter in the vacuum stage of anisotropic cosmological expansion. In contrast to solutions in which spatial derivatives can be ignored, the motions in question lead to an increase back in time of the ratio determining the relative effect of matter on the behavior of the metrics; therefore, these solutions cannot be inscribed in a vacuum anisotropic universe in the neighborhood of a singularity. The properties of an anisotropic solution are discussed, containing four arbitrary functions and in which matter and its motion, but not the vacuum field, determine the character of the initial singularity.

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