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Duality mappings within three-dimensional nonlinear electrodynamics

M. Cataldo

hep-tharXiv:hep-th/0209149

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.

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