Dyonic black holes in framework of Born--Infeld-type electrodynamics

TL;DR

This paper explores dyonic black hole solutions in general relativity with Born-Infeld-type electrodynamics, revealing corrections to classical solutions, restrictions from physical principles, and phase transition phenomena.

Contribution

It introduces new dyonic black hole solutions with Born-Infeld-type electrodynamics and analyzes their thermodynamic properties and phase transitions.

Findings

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

Restrictions on electric and magnetic fields from causality and unitarity.

Identification of second-order phase transitions at certain horizons.

Abstract

Dyonic black hole solutions with spherically symmetric configurations within general relativity are investigated where the source of the gravitational field is Born - Infeld-type electrodynamics. Corrections to Coulomb's law and Reissner - Nordstrom solutions are obtained. From principles of causality and unitarity we find the restriction on electric and magnetic fields. The Hawking temperature and the heat capacity of black holes are obtained. At some event horizons second-order phase transitions take place.