NUMERICAL INVESTIGATION OF INTEGRABLE WEYL GEOMETRY IN MULTIDIMENSIONAL COSMOLOGY

The evolution of 4-dimensional and (4 + D)-dimensional (D = 1, 2) cosm ological models based on the integrable Weyl geometry are considered n umerically both for empty space-time and for scalar field with nonmini mal coupling with gravity. In both cases nonsingular solutions exist o nly for the open exterior space and flat (with torus topology) interio r space. It is shown that in the nonsingular case the scenario of dyna mical dimension reduction is realized. Some characteristic features of the considered models and their possible generalizations are discusse d.