2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/190206A 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 pagesGeneral Relativity and Quantum Cosmologytext