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Reduced Description of Stellar Dynamics by Moments of Gravitation Field

Because of absence of time derivatives from scalar potential as a generalized coordinate of gravitation field (GF) in action of nonrelativistic gravitating system, application of the Hamilton method for description of GF mechanics was impossible. In the paper a transformation of the generalized coor...

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Bibliographic Details
Published in:arXiv.org 2016-03
Main Author: Stupka, A A
Format: Article
Language:English
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Summary:Because of absence of time derivatives from scalar potential as a generalized coordinate of gravitation field (GF) in action of nonrelativistic gravitating system, application of the Hamilton method for description of GF mechanics was impossible. In the paper a transformation of the generalized coordinate 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 possibility of the calculation a Hamilton function, removes mathematical troubles of the Jeans theory (Jeans swindle) and allows to construct kinetic theory of GF using statistical mechanics methods.
ISSN:2331-8422