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Inhomogeneous multidimensional cosmological models with a higher dimensionalspace-time manifold M= M_0 x M_1 ...x M_n are investigated under dimensionalreduction to a D_0-dimensional effective non-minimally coupled sigma-modelwhich generalizes the familiar Brans-Dicke model.  It is argued that the Einstein frame should be considered as the physicalone. The general prescription for the Einstein frame reformulation of knownsolutions in the Brans-Dicke frame is given. As an example, the reformulationis demonstrated explicitly for the generalized Kasner solutions where it isshown that in the Einstein frame there are no solutions with inflation of theexternal space.Comment: 27 pages, Revte

Einstein and Brans–Dicke Frames in Multidimensional Cosmology