Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics

Abstract

Dyonic and magnetic black holes solutions with spherically symmetric configurations in general relativity are obtained. Black holes possessing electric and magnetic charges are studied where the source of the gravitational field is electromagnetic fields obeying the arcsin-electrodynamics. We find corrections to Coulomb's law and Reissner - Nordström solutions. The principles of causality and unitarity are investigated. We obtain the Hawking temperature and it was shown that at some event horizons there are second-order phase transitions.

arXiv comment17 pages, 4 figures

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• Observational Appearances of Magnetically Charged Black Holes in Born-Infeld Electrodynamics
• Einstein-Gauss-Bonnet gravity with rational nonlinear electrodynamics
• Dyonic Matter Equations, Exact Point-Source Solutions, and Charged Black Holes in Generalized Born--Infeld Theory
• Nonlinear Problems Inspired by the Born--Infeld Theory of Electrodynamics
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields