Dyonic and magnetic black holes with rational nonlinear electrodynamics

TL;DR

This paper explores how rational nonlinear electrodynamics affects dyonic and magnetic black holes, revealing conditions for no corrections to classical solutions and analyzing their thermodynamic stability and phase transitions.

Contribution

It introduces a study of black holes within rational nonlinear electrodynamics, highlighting the self-dual case and thermodynamic properties, which was not previously examined.

Findings

Self-dual case shows no corrections to Coulomb's law and Reissner-Nordström solutions.

Magnetic black holes exhibit second-order phase transitions.

Black holes are stable within certain parameter ranges.

Abstract

The principles of causality and unitarity are studied within rational nonlinear electrodynamics proposed earlier. We investigate dyonic and magnetized black holes and show that in the self-dual case, when the electric charge equals the magnetic charge, corrections to Coulomb's law and Reissner-Nordstr\"{o}m solutions are absent. In the case of the magnetic black hole, the Hawking temperature, the heat capacity and the Helmholtz free energy are calculated. It is shown that there are second-order phase transitions and it was demonstrated that at some range of parameters the black holes are stable.