Оn momentum flow density of the gravitational field
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Published:2021
Issue:2
Volume:17
Page:137-147
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ISSN:1811-9905
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Container-title:Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes
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language:
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Short-container-title:Vestnik SPbSU. Applied Mathematics. Computer Science. Control Processes
Author:
Drivotin Oleg I.,
Abstract
Momentum is considered on the basis of the approach widely used in the calculus of variations and in the optimal control theory, where variation of a cost functional is investigated. In physical theory, it is the action functional. Action variation under Lie dragging can be expressed as a surface integral of some differential form. The momentum density flow is defined using this form. In this work, the momentum balance equation is obtained. This equation shows that the momentum field transforms into a momentum of a mass. Examples showing the momentum flow structure for a mass distribution representing a uniform thin layer are provided.
Publisher
Saint Petersburg State University
Subject
Applied Mathematics,Control and Optimization,General Computer Science
Cited by
2 articles.
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