TITLE:
Geometric Aspects of the Liouville and Vlasov Equations Theory in the Phase Space
AUTHORS:
Nikolay N. Fimin
KEYWORDS:
Asaki Metric, Einstein-Hilbert Action, Vlasov-Einstein Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.11,
November
3,
2025
ABSTRACT: The article discusses the method of obtaining from general relativistic actions for systems of interacting massive charged particles the corresponding Vlasov-type equations. It is shown that the type of action depends on both the impulse/speed representation in the components of the integral core actions, as well as from the full metric of the phase space of the system.