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https://hdl.handle.net/2445/24568
Title: | Invariant decomposition of the retarded electromagnetic field. |
Author: | Graells, J. Martín, C. Codina i Vidal, Josep Ma. (Josep Maria), 1927- |
Keywords: | Electrodinàmica Teoria de camps (Física) Teoria electromagnètica Electrodynamics Field theory (Physics) Electromagnetic theory |
Issue Date: | 1985 |
Publisher: | American Institute of Physics |
Abstract: | The 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. |
Note: | Reproducció digital del document proporcionada per AIP i http://dx.doi.org/10.1063/1.526873 |
It is part of: | Journal of Mathematical Physics, 1985, vol. 26, num. 8, p. 2024-2029 |
URI: | https://hdl.handle.net/2445/24568 |
Related resource: | http://dx.doi.org/10.1063/1.526873 |
ISSN: | 0022-2488 |
Appears in Collections: | Articles publicats en revistes (Física Aplicada) |
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