Condensed Matter Physics, 2006, vol. 9, No. 1(45), p. 8186, English
DOI:10.5488/CMP.9.1.81
Title:
Selfgravitational 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
