Local thermodynamics of KS black hole

TL;DR

This paper investigates the local thermodynamics of the KS black hole in HL gravity, revealing stable small black holes, phase transitions, and decay processes through quantum tunneling.

Contribution

It introduces a cavity method for analyzing thermodynamics at finite surfaces and explores stability and decay of KS black holes, a novel approach in HL gravity.

Findings

Existence of a locally stable small black hole

Phase transition between small and large black holes

Remnant decay into vacuum via quantum tunneling

Abstract

We study the thermodynamics of the KS black hole which is an asymptotically flat solution of the HL gravity. In particular, we introduce a cavity to describe the thermodynamics at a finite isothermal surface on general ground and to get a well-defined thermodynamics. We show that there exists a locally stable small black hole which tunnels to the hot flat space below the critical temperature and to the large black hole above the critical temperature. Moreover, it turns out that the remnant decays into the vacuum through a quantum tunneling.