Homogenization of inhomogeneous cosmological models

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Abstract
We derive approximate solutions representing the evoluton of irregularities on a superhorizon scale which exist at the early stages of the Universe. As long as their scales are so much larger than the horizon size that the spatial curvature can be neglected, it is shown that they can generally be homogenized with time for matter with arbitrary reasonable equations of state, and that, at the stage of inflationary expansion associated with a positive cosmological constant, the homogenization of irregularities proceeds rapidly in an accelerative manner. Moreover it is shown in the latter case that our result is consistent with the recent results about the evolution of local irregularities in the de Sitter background universe which have been independently derived by Nakao and co-workers from the dynamical viewpoint for black hole spacetimes.

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