Author(s)

Nikolay N. Fimin

Keldysh Institute of Applied Mathematics of RAS, Moscow, Russian Federation.

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.

Asaki Metric, Einstein-Hilbert Action, Vlasov-Einstein Equation

Fimin, N. (2025) Geometric Aspects of the Liouville and Vlasov Equations Theory in the Phase Space. Journal of Applied Mathematics and Physics, 13, 3663-3672. doi: 10.4236/jamp.2025.1311203.