Black hole solution in the framework of arctan-electrodynamics
An arctan-electrodynamics coupled with the gravitational field is investigated. We obtain the regular black hole solution that at [Formula: see text] gives corrections to the Reissner–Nordström solution. The corrections to Coulomb’s law at [Formula: see text] are found. We evaluate the mass of the black hole that is a function of the dimensional parameter [Formula: see text] introduced in the model. The magnetically charged black hole was investigated and we have obtained the magnetic mass of the black hole and the metric function at [Formula: see text]. The regular black hole solution is obtained at [Formula: see text] with the de Sitter core. We show that there is no singularity of the Ricci scalar for electrically and magnetically charged black holes. Restrictions on the electric and magnetic fields are found that follow from the requirement of the absence of superluminal sound speed and the requirement of a classical stability.