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Multidimensional Cosmology with $m$-Component Perfect Fluid

V. D. Ivashchuk·V. N. Melnikov
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Abstract

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

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V. D. Ivashchuk, V. N. Melnikov. 1994-03-31. Multidimensional Cosmology with $m$-Component Perfect Fluid. https://doi.org/10.1142/s0218271894000897

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