Self-gravitational system. New approach

Abstract

The field theory approach to statistical description of the system of gravitational interacting particles is proposed in order to describe spatially inhomogeneous structures. A nonperturbutive calculation of the partition function is demonstrated for such a system. Spatially inhomogeneous system’s state – cluster is considered. The spatial distribution function, cluster’s size and the conditions of phase transition to the collapsed phase are determined exactly in this approach.