Statistics – Computation
Scientific paper
Dec 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989azh....66.1208z&link_type=abstract
Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 66, Nov.-Dec. 1989, p. 1208-1226. In Russian.
Statistics
Computation
4
Computational Astrophysics, Kinetic Equations, Relativistic Theory, Universe, Distribution Functions, Einstein Equations, Gravitation Theory, Relativistic Particles
Scientific paper
A chain of interlocking kinetic equations for one-particle, many-particle, etc. distribution functions for relativistic gravitating particles is constructed. The gravitational interaction is described in the framework of general relativity. It is shown that, for constructing the kinetic equation for the one-particle distribution function in the Friedmann universe with a second-order accuracy in the interaction constant, it is sufficient to use linearized Einstein equations and to disregard three-particle correlations. The resulting kinetic equation in the nonrelativistic limit reduces to the equation obtained by Bisnovatyi-Kogan and Shukhman for an expanding universe in the framework of the Newtonian gravitational theory.
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