Perfect-fluid higher-dimensional cosmologies

Physics

Scientific paper

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Scientific paper

A range of solutions to Einstein's equations in 1+d+D dimensions is presented for a variety of perfect-fluid energy-momentum tensors. The techniques used to obtain these solutions are explained at some length. Solutions with D dimensions eventually collapsing and d expanding are singled out and studied in detail. It is explained how the higher-dimensional universe passes into a (1+d)-dimensional Friedmann-Robertson-Walker phase. The modifications in the thermal history of the universe are traced. It is found that this altered scenario offers a resolution to the horizon problem.

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