Dyonic Black Holes with Nonlinear Logarithmic Electrodynamics

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 an electromagnetic field obeying logarithmic electrodynamics. This particular form of nonlinear electrodynamics is of interest because of its simplicity. Corrections to Coulomb’s law and the Reissner-Nordström 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.