Duality mappings within three-dimensional nonlinear electrodynamics
M. Cataldo
TL;DR
This paper explores duality mappings in three-dimensional nonlinear electrodynamics coupled with Einstein gravity, linking electrostatic and magnetostatic solutions as well as stationary solutions, revealing a broader duality structure.
Contribution
It extends the concept of duality mappings from linear to nonlinear electrodynamics in three-dimensional Einstein gravity, identifying new relationships among various solutions.
Findings
Duality mapping exists between electrostatic and magnetostatic solutions.
Duality also relates electric and magnetic stationary solutions.
The mappings generalize known dualities to nonlinear electrodynamics.
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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