This article is cited in 4 papers

Multidimensional cosmological solutions of Friedmann type

G. S. Sharov

Tver State University

Abstract: The generalization of cosmological models of Friedmann type (the $t=\operatorname {const}$ section is a manifold of constant curvature) to the case of an arbitrary number $n$ of spatial dimensions with allowance for the $\Lambda$ term is considered. Solutions are obtained in the integrable cases, in particular, for the distinguished value $n=2$. For $n\geq 4$ it is shown that the qualitative picture of the evolution is close to the ordinary scenario with $n=3$.

Received: 13.01.1994

 English version: Theoretical and Mathematical Physics, 1994, 101:3, 1485–1491

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