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1985

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/24568

Invariant decomposition of the retarded electromagnetic field.

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http://dx.doi.org/10.1063/1.526873

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.

Subject

Electrodinàmica, Teoria de camps (Física), Teoria electromagnètica

Subject (English)

Electrodynamics, Field theory (Physics), Electromagnetic theory

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Articles publicats en revistes (Física Aplicada)

Citation

GRAELLS, J., MARTÍN, C. and CODINA I VIDAL, Josep Ma. (Josep Maria). Invariant decomposition of the retarded electromagnetic field. Journal of Mathematical Physics. 1985. Vol. 26, num. 8, pags. 2024-2029. ISSN 0022-2488. [consulted: 11 of August of 2026]. Available at: https://hdl.handle.net/2445/24568

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