Black hole solution in the framework of arctan-electrodynamics

作者：Kruglov S I^*

来源：International Journal of Modern Physics D, 2017, 26(8): 1750075.

DOI：10.1142/S0218271817500754

• Arctan-electrodynamics
• Reissner-Nordstrom solution
• Coulomb's law
• black hole
• Ricci scalar
• classical stability

An arctan-electrodynamics coupled with the gravitational field is investigated. We obtain the regular black hole solution that at r -> infinity gives corrections to the Reissner-Nordstr om solution. The corrections to Coulomb's law at r -> infinity are found. We evaluate the mass of the black hole that is a function of the dimensional parameter beta 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 r -> infinity The regular black hole solution is obtained at r -> infinity 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.

• 出版日期2017-7