Reduced Description of Stellar Dynamics by Moments of Gravitational Field (GF)

Details Reduced Description of Stellar Dynamics by Moments of Gravitational Field (GF) Reduced Description of Stellar Dynamics by Moments of Gravitational Field (GF)

Dec 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008ysc..conf...29s&link_type=abstract

YSC'15 Proceedings of Contributed Papers (eds. Choliy V. Ya., Ivashchenko G.), pp. 29-32

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

Because of absence of time derivatives from scalar potential as a generalized coordinates of gravitational field (GF) in action of nonrelativistic gravitating system, application of the Hamilton method for description of GF mechanics is impossible. In the present paper a transformation of the generalized coordinates of GF, that is based on continuity equation and minimal action principle, is proposed. A potential vector is introduced, that is similar to fixing of Hamilton gauge of the electromagnetic field. This transformation gives us the possibility to calculate Hamilton function (HF), removes mathematical troubles of the Jeans theory (Jeans swindle) and allows us to construct kinetic theory of GF using statistical mechanics methods.

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