Multidimensional Cosmology with mm-Component Perfect Fluid

preprint1994arXivOpen access

Abstract

A cosmological model describing the evolution of nn Einstein spaces (n>1)(n>1) with mm-component perfect-fluid matter is considered. When all spaces are Ricci-flat and for any αα-th component the pressures in all spaces are proportional to the density: pi(α)=(1−hi(α))ρ(α)p_{i}^{(α)} = (1- h_{i}^{(α)}) ρ^{(α)}, hi(α)h_{i}^{(α)} = const, the Einstein and Wheeler-DeWitt equations are integrated in the cases: i) m=1m=1, for all hi(α)h_{i}^{(α)}; ii) m>1m > 1, for some special sets of hi(α)h_{i}^{(α)}. For m=1m=1 the quantum wormhole solutions are also obtained. \\

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