Thermodynamical instability of black holes

TL;DR

This paper explores a thermodynamical transition in Kerr black holes driven by heat transfer between horizons, leading to a stable extremal black hole state and involving gravitational quantum emission.

Contribution

It introduces a novel mechanism of black hole transition based on heat transfer between horizons, resulting in a stable extremal state and calculating its mass.

Findings

Identification of a thermodynamical transition process in Kerr black holes.

Derivation of the extremal black hole mass after transition.

Proposal of gravitational quantum emission during the transition.

Abstract

In contrast to Hawking radiation of black hole with a given spacetime structure, we consider a competitive transition due to a heat transfer from a hotter inner horizon to a colder outer horizon of Kerr black hole, that results in a stable thermodynamical state of extremal black hole. In this process, by supposing an emission of gravitational quanta, we calculate the mass of extremal black hole in the final state of transition.