Nonlinear electromagnetic fields and symmetries
arXiv:1705.00628 · doi:10.1103/PhysRevD.95.124037
Abstract
We extend the classical results on the symmetry inheritance of the canonical electromagnetic fields, described by the Maxwell's Lagrangian, to a much wider class of models, which include those of the Born-Infeld, power Maxwell and the Euler-Heisenberg type. Symmetry inheriting fields allow the introduction of electromagnetic scalar potentials and these are proven to be constant on the Killing horizons. Finally, using the relations obtained along the analysis, we generalize and simplify the recent proof for the symmetry inheritance of the 3-dimensional case, as well as give the first constraint for the higher dimensional electromagnetic fields.
6 pages; slightly revised, published version (two statements removed from the Theorem II.1, equations (25) and (26) corrected, several comments added/revised)
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