Derivation of the Equations of Electrodynamics and Gravitation from the Principle of Least Action

Abstract

The problem of justification of gravitation and electrodynamic equations with the help of the minimal action principle is a classical one. A derivation of the Vlasov–Maxwell–Einstein equation is proposed from the classical principle, but the little more general principle of minimal action. So we get new derivation of the right-hand side of the Maxwell and Einstein equations and we get a closed system of equations for gravitation and electrodynamics.