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arXiv · 1603.00829

Reduced Description of Stellar Dynamics by Moments of Gravitation Field

A. A. Stupka
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Abstract

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.

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A. A. Stupka. 2016-03-02. Reduced Description of Stellar Dynamics by Moments of Gravitation Field. https://arxiv.org/abs/1603.00829

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