The properties of Vlasov-Maxwell-Einstein equations and its applications to cosmological models

TL;DR

This paper derives Vlasov-Maxwell-Einstein equations from Einstein-Hilbert action, introduces a synchronization method for particle proper times, and analyzes the cosmological term's structure in Einstein's equations.

Contribution

It presents a novel derivation of Vlasov-type equations in a relativistic setting and proposes an effective synchronization approach for multi-particle systems in cosmology.

Findings

Derived Vlasov-Maxwell-Einstein equations from Einstein-Hilbert action.

Proposed a synchronization method for proper times of particles.

Analyzed the composite structure of the cosmological term.

Abstract

The method of obtaining of Vlasov-type equations for systems of interacting massive charged particles from the general relativistic Einstein-Hilbert action is considered. An effective approach to synchronizing the proper times of various particles of a many-particle system is proposed. Based on the resulting expressions for the relativistic actions, an analysis of composite structure of cosmological term in Einstein's equations is performed.