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

The method of obtaining Vlasov-type equations for systems of interacting massive charged particles from the general relativistic Einstein–Hilbert action is considered. An effective approach to synchronize 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. © 2020, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.