DERIVATION OF VLASOV-MAXWELL-EINSTEIN EQUATION AND ITS CONNECTION WITH COSMOLOGICAL LAMBDA-TERM

Using the classical Lorentz-Hilbert-Einstein action, we derive the kinetic Vlasov-Maxwell-Einstein equation for particles in the gravitational and electromagnetic fields. The method of synchronization of intrinsic times of different particles is proposed. Based on the obtained expressions for actions (including in the post-Newtonian approximation), we analyze the connection of the cosmological lambda-term and dark energy.