Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics

TL;DR

This paper explores new black hole solutions in general relativity with nonlinear arcsin-electrodynamics, revealing modifications to classical laws, phase transitions, and thermodynamic properties.

Contribution

It introduces novel dyonic and magnetic black hole solutions with nonlinear electromagnetic sources based on arcsin-electrodynamics, extending classical black hole models.

Findings

Corrections to Coulomb's law and Reissner-Nordström solutions.

Investigation of causality and unitarity principles.

Identification of second-order phase transitions at certain horizons.

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 - Nordstr\"{o}m 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.