Multidimensional Cosmology with $m$-Component Perfect Fluid

Details Multidimensional Cosmology with $m$-Component Perfect Fluid Multidimensional Cosmology with $m$-Component Perfect Fluid

1994-03-31

arxiv.org/abs/gr-qc/9403064v1

Int.J.Mod.Phys.D3:795-812,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages. RGA-CSVR-002/94

Scientific paper

10.1142/S0218271894000897

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. \\

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