On generalized ModMax model of nonlinear electrodynamics

Abstract

A new generalized ModMax model of nonlinear electrodynamics with four parameters is proposed. The ModMax model and Born--Infeld-type electrodynamics are particular cases of the present model It is shown that a singularity of the electric field at the center of point-like charged particles is absent. We found corrections to Coulomb's law at $r\to \infty$ and obtain the total electrostatic and magnetic energies of point-like charges. Free electric and magnetic charges and their densities are obtained.

arXiv comment13 pages, 4 figures, corrected Eq. (5), journal version, accepted in Phys.Lett.B

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• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• Introductory Notes on Non-linear Electrodynamics and its Applications
• Accelerated Black Holes beyond Maxwell's Electrodynamics
• Constraints on singularity resolution by nonlinear electrodynamics
• Manifestly $SL(2,R)$ Duality-Symmetric Forms in ModMax Theory
• Charged black holes from a family of Born-Infeld-type electrodynamics models
• On Current-Squared Flows and ModMax Theories