Power radiated by an accelerated electric charge in Minkowski spacetime

Abstract In this paper we will use the Classical Fields Theory to address the electromagnetic field and the interaction of an accelerated electric charge with this field in Minkowski spacetime. For this, we first present the mathematical properties of the spacetime in question and the steps to obtain the electromagnetic field equations with source from a lagrangean formulation of that field. Then, we use Green's formalism to find the solutions of the field equations, including the steps to obtain Feynman propagator. Finally, we reach the potential of Liénard-Wiechert and the expressions of the fields of electric and magnetic radiation, presenting later the radiation pattern emitted by a charge in non-relativistic condition, the Larmor formula and its covariant form besides the Liénard's generalization.