Integrable multidimensional gravitational and cosmological models and applications

Two families of exact solutions in multidimensional gravity with scalar fields and fields of forms are considered: fluxbrane and black brane ones. A brief overview of main results on billiard approach for cosmological-type models with branes is also presented.

Deformed compact extra space as dark matter candidate

We elaborate the possibility for a deformed extra space to be considered as the dark matter candidate. To perform calculations, a class of two-dimensional extra metrics was considered in the framework of the multidimensional gravity. It was shown that there exists a family of stationary metrics of the extra space possessing point-like defect. Estimation of cross-section of scattering of a particle of the ordinary matter on a spatial domain with deformed extra space is in agreement with the observational constraints.