Magnetized black holes and nonlinear electrodynamics

TL;DR

This paper introduces a new nonlinear electrodynamics model that eliminates singularities in electric fields, modifies Coulomb law, and explores magnetized black holes, their thermodynamics, and phase transitions.

Contribution

A novel two-parameter nonlinear electrodynamics model is developed, analyzing black hole solutions, thermodynamics, and stability, with new insights into regular black holes and phase transitions.

Findings

Electric field singularities are removed in the model.

Black holes exhibit finite magnetic mass and modified thermodynamics.

The model predicts first- and second-order phase transitions.

Abstract

A new model of nonlinear electrodynamics with two parameters is proposed. We study the phenomenon of vacuum birefringence, the causality and unitarity in this model. There is no singularity of the electric field in the center of point-like charges and the total electrostatic energy is finite. We obtain corrections to the Coulomb law at $r\rightarrow\infty$. The weak, dominant and strong energy conditions are investigated. Magnetized charged black hole is considered and we evaluate the mass, metric function and their asymptotic at $r\rightarrow\infty$ and $r\rightarrow 0$. The magnetic mass of the black hole is calculated. The thermodynamic properties and thermal stability of regular black holes are discussed. We calculate the Hawking temperature of black holes and show that there are first-order and second-order phase transitions. The parameters of the model when the black hole is stable are found.