Dyonic black holes with nonlinear logarithmic electrodynamics
S.I. Kruglov

TL;DR
This paper introduces a new spherically symmetric dyonic black hole solution in general relativity with nonlinear logarithmic electrodynamics, analyzing its properties, corrections to classical laws, and phase transition behavior.
Contribution
It presents a novel dyonic black hole solution with logarithmic electrodynamics, including corrections to Coulomb's law and Reissner-Nordstrom solution, and studies its thermodynamic phase transitions.
Findings
Corrections to Coulomb's law and Reissner-Nordstrom solution.
Hawking temperature of the black holes calculated.
Second-order phase transitions identified for certain parameters.
Abstract
A new dyonic solution for black holes with spherically symmetric configurations in general relativity is obtained. We study black holes possessing electric and magnetic charges, and the source of the gravitational field is electromagnetic fields obeying the logarithmic electrodynamics. This particular form of nonlinear electrodynamics is of interest because of its simplicity. Corrections to Coulomb's law and Reissner-Nordstrom solution are found. We calculate the Hawking temperature of black holes and show that second-order phase transitions occur for some parameters of the model.
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