Properties of the Vlasov–Maxwell–Einstein Equations and Their Application to the Problems of General Relativity

Abstract: A new universal method is proposed for obtaining Vlasov–type equations for systems of interacting massive charged particles from the general-relativistic Einstein–Hilbert action. At the same time, a new effective approach to synchronizing the proper times of various particles of a many–particle system has been introduced. A new form of the energy–momentum tensor for matter (and the right-hand side of Einstein’s equations) is obtained. © 2020, Pleiades Publishing, Ltd.