Thermodynamics of regular black hole

TL;DR

This paper compares the thermodynamics of magnetically charged regular black holes with Reissner-Norström black holes, finding no thermodynamic difference for fixed charge and exploring near-horizon AdS2 thermodynamics and entropy via AdS2/CFT1 correspondence.

Contribution

It demonstrates the thermodynamic equivalence of regular and RN black holes at fixed charge and connects near-horizon thermodynamics with Jackiw-Teitelboim theory and AdS2/CFT1 correspondence.

Findings

No thermodynamic difference between regular and RN black holes at fixed charge.

Near-horizon AdS2 thermodynamics matches Jackiw-Teitelboim theory.

Near-horizon entropy aligns with statistical entropy via AdS2/CFT1.

Abstract

We investigate thermodynamics for a magnetically charged regular black hole (MCRBH), which comes from the action of general relativity and nonlinear electromagnetics, comparing with the Reissner-Norstr\"om (RN) black hole in both four and two dimensions after dimensional reduction. We find that there is no thermodynamic difference between the regular and RN black holes for a fixed charge $Q$ in both dimensions. This means that the condition for either singularity or regularity at the origin of coordinate does not affect the thermodynamics of black hole. Furthermore, we describe the near-horizon AdS$_2$ thermodynamics of the MCRBH with the connection of the Jackiw-Teitelboim theory. We also identify the near-horizon entropy as the statistical entropy by using the AdS$_2$/CFT$_1$ correspondence.