Generalized de Sitter solution in multidimensional cosmology with static internal spaces

Abstract

A multidimensional cosmological model with space-time consisting of n (n>1) Einstein spaces M_i is investigated in the presence of a cosmological constant Lambda and a homogeneous minimally coupled free scalar field. Generalized de Sitter solution was found for Lambda > 0 and Ricci-flat external space for the case of static internal spaces with fine tuning of parameters.

LaTeX2e, 8 pages

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