Multidimensional Cosmology with $m$-Component Perfect Fluid

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 $\alpha$-th component the pressures in all spaces are proportional to the density: $p_i^{(\alpha )}=(1-h_i^{(\alpha )}){\rho }^{(\alpha )}$, $h_i^{(\alpha )}$ = const, the Einstein and Wheeler-DeWitt equations are integrated in the cases: i) $m=1$, for all $h_i^{(\alpha )}$; ii) $m>1$, for some special sets of $h_i^{(\alpha )}$. For $m=1$ the quantum wormhole solutions are also obtained. \\

16 pages. RGA-CSVR-002/94

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