Disformal invariance of Maxwell's field equations

E. Goulart; F. T. Falciano

Disformal invariance of Maxwell's field equations

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arxiv 1303.4350 v1 pith:PKPBS3BJ submitted 2013-03-18 gr-qc

E. Goulart , F. T. Falciano This is my paper · ORCID

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keywords disformalelectrodynamicsgaugeinvariancemaxwellsymmetrytransformationsactive

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abstract

We show that Maxwell's electrodynamics in vacuum is invariant under active transformations of the metric. These metrics are related by disformal mappings induced by derivatives of the gauge vector $A_{\mu}$ such that the gauge symmetry is preserved. Our results generalize the well known conformal invariance of electrodynamics and characterize a new type of internal symmetry of the theory. The group structure associated with these transformations is also investigated in details.

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Degenerate higher-order Maxwell-Einstein theories
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A complete classification of quadratic degenerate Maxwell-Einstein theories is given, including a new theory that generalizes Horndeski's non-minimal coupling to gauge fields.

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