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For the description of the Universe expansion, compatible with observationaldata, a model of modified gravity - Lovelock gravity with dilaton - isinvestigated. D-dimensional space with 3- and (D-4)-dimensional maximallysymmetric subspaces is considered. Space without matter and space with perfectfluid are under test. In various forms of the theory under way (third orderwithout dilaton and second order - Einstein-Gauss-Bonnet gravity - with dilatonand without it) stationary, power-law, exponential and exponent-of-exponentform cosmological solutions are obtained. Last two forms include solutionswhich are clear to describe accelerating expansion of 3-dimensional subspace.Also there is a set of solutions describing cosmological expansion which doesnot tend to isotropization in the presence of matter.

Accelerating cosmologies in Lovelock gravity with dilaton