On derivation of Vlasov–Maxwell–Einstein equations from the principle of least action, Hamilton–Jacobi method and Milne–McCree Model

Abstract

In classical texts equations for gravitation and electromagnetic fields are proposed without derivation of the right-hand sides [1–4]. Here we suggest the derivation of the right-hand sides and analyze momentum-energy tensor in the framework of Vlasov–Maxwell–Einstein equations and Milne–McCree model. We propose new models of accelerated expansion of the Universe without Einstein lambda.