Accelerated expansion of the Universe and multidimensional theory of gravitation

A condition for accelerated expansion of the Universe is derived from multidimensional formulas of gravitation, which is a generalization of the general theory of relativity for n dimensions. The model of a one-component ideal isotropic substance with a power-law diagonal metric is used as initial one. Restrictions on the state equations of our 3D space and accompanying additional dimensions are obtained. © 2007 Springer Science+Business Media, Inc.