Graells, J.Martín, C.Codina i Vidal, Josep Ma. (Josep Maria), 1927-2012-04-262012-04-2619850022-2488https://hdl.handle.net/2445/24568The integral representation of the electromagnetic two-form, defined on Minkowski space-time, is studied from a new point of view. The aim of the paper is to obtain an invariant criteria in order to define the radiative field. This criteria generalizes the well-known structureless charge case. We begin with the curvature two-form, because its field equations incorporate the motion of the sources. The gauge theory methods (connection one-forms) are not suited because their field equations do not incorporate the motion of the sources. We obtain an integral solution of the Maxwell equations in the case of a flow of charges in irrotational motion. This solution induces us to propose a new method of solving the problem of the nature of the retarded radiative field. This method is based on a projection tensor operator which, being local, is suited to being implemented on general relativity. We propose the field equations for the pair {electromagnetic field, projection tensor J. These field equations are an algebraic differential first-order system of oneforms, which verifies automatically the integrability conditions.6 p.application/pdfeng(c) American Institute of Physics, 1985ElectrodinàmicaTeoria de camps (Física)Teoria electromagnèticaElectrodynamicsField theory (Physics)Electromagnetic theoryInvariant decomposition of the retarded electromagnetic field.info:eu-repo/semantics/article916762012-04-20info:eu-repo/semantics/openAccess