Magnetic black holes with generalized ModMax model of nonlinear electrodynamics

Abstract

Recently Bandos, Lechner, Sorokin, and Townsend [Phys. Rev. D \textbf{102}, 121703 (2020)] proposed Modified Maxwell (ModMax) model of nonlinear duality-invariant conformal electrodynamics. Here, Generalized ModMax (GenModMax) model of nonlinear electrodynamics coupled to general relativity is studied. The metric and mass functions, and their asymptotic as $r\to \infty$ and $r\to 0$ of a magnetic black hole are obtained. Corrections to the Reissner--Nordström solution are found and we show that for some model parameters the black hole is regular. The Hawking temperature and heat capacity of black holes are calculated and phase transitions are investigated. We demonstrate that black holes are not stable for certain model parameters.

arXiv comment14 pages, 5 figures, to be published in IJMPD

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• Maximally symmetric nonlinear extension of electrodynamics and charged particles
• Constraints on singularity resolution by nonlinear electrodynamics
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• Lagrangian reverse engineering for regular black holes
• Topological Mod(A)Max AdS black holes
• Thermodynamic phase transition and Joule-Thomson expansion of a quantum corrected black hole in AdS spacetime
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
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• Thermal and Optical Signatures of Einstein-Dyonic ModMax Black Holes with GUP and Plasma Modifications
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy
• On Current-Squared Flows and ModMax Theories
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity