https://doi.org/10.1140/epjc/s10052-020-7809-x
Regular Article - Theoretical Physics
Dyonic and magnetized black holes based on nonlinear electrodynamics
1
Department of Physics, University of Toronto, 60 St. Georges St., Toronto, ON, M5S 1A7, Canada
2
Department of Chemical and Physical Sciences, University of Toronto, 3359 Mississauga Road North, Mississauga, ON, L5L 1C6, Canada
* e-mail: serguei.krouglov@utoronto.ca
Received:
7
May
2019
Accepted:
7
March
2020
Published online:
18
March
2020
We propose a new model of nonlinear electrodynamics with two dimensional parameters. The phenomenon of vacuum birefringence, the principles of causality and unitarity were studied. It was shown that there is no a singularity of the electric field in the center of point-like charges. Corrections to the Coulomb law as 
were obtained. Dyonic and magnetized black holes are considered. We show that in the self-dual case, when the electric charge equals the magnetic charge, corrections to Coulomb’s law and Reissner–Nordström solutions are absent. The metric function and its asymptotic limit as for magnetic black holes were evaluated. We calculate the magnetic mass of the black hole, which is finite. The thermodynamic properties and thermal stability of black holes were investigated. We calculated the Hawking temperature, the heat capacity and the Helmholtz free energy of black holes and showed that for some parameter values there are second-order phase transitions. It was demonstrated that at some range of the parameters the black holes are stable.
© The Author(s), 2020
