MULTIDIMENSIONAL COSMOLOGY, CONSTANTS AND TRANSITION TO NEW SI UNITS

Main current problems of physics, gravitation and cosmology in particular are analyzed. Special attention is paid to results of the theory with extra dimensions and variations of fundamental physical constants. As an example the family of spherically symmetric solutions with horizon with multi-component anisotropic fluid is presented. The metrics of solutions are defined on a manifold that contains a product of n-1 Ricci-flat "internal" spaces. A simulation of black brane solutions is considered. For the solution with the fluid matter the post-Newtonian parameters β and γ corresponding to the 4-dimensional section of the metric are found.

MULTIDIMENSIONAL COSMOLOGY, CONSTANTS AND TRANSITION TO NEW SI UNITS

Main current problems of physics, gravitation and cosmology in particular are analyzed. Special attention is paid to results of the theory with extra dimensions and variations of fundamental physical constants. As an example the family of spherically symmetric solutions with horizon with multi-component anisotropic fluid is presented. The metrics of solutions are defined on a manifold that contains a product of n - 1 Ricci-flat "internal" spaces. A simulation of black brane solutions is considered. For the solution with the fluid matter the post-Newtonian parameters β and γ corresponding to the 4-dimensional section of the metric are found.

MULTIDIMENSIONAL COSMOLOGY AND FUNDAMENTAL CONSTANTS

Studies of multidimensional models with different sources (models with S -branes, thin and thick brane worlds, Kaluza-Klein type models in curvature-nonlinear multidimensional gravity etc.) and their application to the cosmological constant, cosmological singularity, hierarchy and coincidence problems are presented. Their observational predictions: variations of fundamental physical constants, new types of black holes and wormholes are discussed.

STABILIZATION OF INTERNAL SPACE IN NONCOMMUTATIVE MULTIDIMENSIONAL COSMOLOGY

We study the cosmological aspects of a noncommutative, multidimensional universe where the matter source is assumed to be a scalar field which does not commute with the internal scale factor. We show that such noncommutativity results in the internal dimensions being stabilized.