Disformal invariance of Maxwell's field equations

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.

8 pages, no figures

References in corpus (15)

• The Relation between Physical and Gravitational Geometry
• Superluminary Universe: A Possible Solution to the Initial Value Problem in Cosmology
• New varying speed of light theories
• The Tensor-Vector-Scalar theory and its cosmology
• DBI Galileons in the Einstein Frame: Local Gravity and Cosmology
• Galileons in the Sky
• Disformal Inflation
• On the Advancements of Conformal Transformations and their Associated Symmetries in Geometry and Theoretical Physics
• Solar system constraints on multi-field theories of modified dynamics
• Massive gravity from bimetric gravity
• Bimetric varying speed of light theories and primordial fluctuations
• A classification of the effective metric in nonlinear electrodynamics
• A new symmetry of the relativistic wave equation
• Hidden geometries in nonlinear theories: a novel aspect of analogue gravity
• Effective metric in nonlinear scalar field theories

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