Magnetically charged regular black hole in a model of nonlinear electrodynamics

TL;DR

This paper constructs a magnetically charged regular black hole solution within general relativity using a nonlinear electrodynamics model that satisfies physical conditions and analyzes its thermodynamic stability.

Contribution

It introduces a new regular black hole model sourced by nonlinear electrodynamics satisfying key physical criteria and explores its thermodynamic properties.

Findings

The black hole solution is regular and magnetically charged.

Smaller black holes are thermodynamically more stable.

Thermodynamic analysis includes heat capacity calculations.

Abstract

We obtain a magnetically charged regular black hole in general relativity. The source to the Einstein field equations is nonlinear electrodynamic field in a physically reasonable model of nonlinear electrodynamics (NED). "Physically" here means the NED model is constructed on the basis of three conditions: the Maxwell asymptotic in the weak electromagnetic field limit; the presence of vacuum birefringence phenomenon; and satisfying the weak energy condition (WEC). In addition, we analyze the thermodynamic properties of the regular black hole in two ways. According to the usual black hole thermodynamics, we calculate the heat capacity at constant charge, from which we know the smaller black hole is more stable. We also employ the horizon thermodynamics to discuss the thermodynamic quantities, especially the heat capacity at constant pressure.