Magnetic black holes with generalized ModMax model of nonlinear electrodynamics

Recently, Bandos, Lechner, Sorokin and Townsend [Phys. Rev. D 102 (2020) 121703] 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 -> infinity and r -> 0 of a magnetic black hole are obtained. Corrections to the Reissner-Nordstrom 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.

Automated summary

The study investigates the Generalized ModMax (GenModMax) model of nonlinear electrodynamics coupled to general relativity, obtaining the metric and mass functions of a magnetic black hole and exploring its stability and phase transitions under different model parameters. The research also calculates the Hawking temperature and heat capacity of black holes, showing that black holes are not stable for certain model parameters.