Duality mappings within three-dimensional nonlinear electrodynamics
arXiv:hep-th/0209149 · doi:10.1016/S0370-2693(02)02703-X
Abstract
In three-dimensional Einstein-Maxwell gravity the electrostatic Banados-Teitelboim-Zanelli solution and the magnetostatic Hirschmann-Welch solution are connected by a duality mapping. Here we point out that a similar duality mapping exists among circularly symmetric electrostatic and magnetostatic spacetimes, and electric and magnetic stationary solutions, for a nonlinear electrodynamics coupled to three-dimensional Einstein gravity.
9 pages, Latex, accepted in Phys. Lett. B