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Extended approaches to covariant Maxwell electrodynamics

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Abstract

The field equations of covariant Maxwell electrodynamics are a set I of 8 equations for the determination of 6 variables, i.e., the independent components of the skew-symmetric Maxwell tensorF αβ. Obviously 2 of these equations are not evolutive; however they cannot be eliminated without losing manifest covariance. This paper presents a new hyperbolic set S of 8 equations in the 8 variablesF αβ,x, y, wherex, y are new auxiliary quantities. The solutions of S withx =y = 0 are those of the set I. Moreover, S is expressed in covariant form and is equivalent to a symmetric hyperbolic system.

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  1. Dipartimento di Matematica, V. le A. Doria 6, I-95125, Catania, Italy

    S. Pennisi

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  1. S. Pennisi
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Pennisi, S. Extended approaches to covariant Maxwell electrodynamics. Continuum Mech. Thermodyn 8, 143–151 (1996). https://doi.org/10.1007/BF01181852

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  • DOI: https://doi.org/10.1007/BF01181852

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