Title: Self-gravitational system. New approach
Author(s):

	B.I.Lev (Department of the theoretical physics, Institute of Physics, NAS Ukraine, Prospekt Nauki 46, Kyiv 04022, Ukraine) ,
	K.V.Grigorishin (Department of the theoretical physics, Institute of Physics, NAS Ukraine, Prospekt Nauki 46, Kyiv 04022, Ukraine)

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.

Key words: gravitational interaction, cluster, spatially inhomogeneous distribution, collapse, soliton solution
PACS: 23.23.+x, 56.65.Dy