Quantum (in)stability of 2D charged dilaton black holes and 3D rotating black holes

TL;DR

This paper investigates the quantum stability of 2D charged dilaton black holes and 3D rotating black holes, revealing conditions under which they evaporate or anti-evaporate, with implications for black hole disintegration.

Contribution

It provides a detailed analysis of quantum effects on 2D and 3D black holes derived from string theory and Kaluza-Klein reduction, highlighting new stability behaviors.

Findings

Quantum-corrected BHs can evaporate or anti-evaporate.

Higher modes may cause black hole disintegration.

Quantum effects depend on the number of dilaton coupled scalars.

Abstract

The quantum properties of charged black holes (BHs) in 2D dilaton-Maxwell gravity (spontaneously compactified from heterotic string) with $N$ dilaton coupled scalars are studied. We first investigate 2D BHs found by McGuigan, Nappi and Yost. Kaluza-Klein reduction of 3D gravity with minimal scalars leads also to 2D dilaton-Maxwell gravity with dilaton coupled scalars and the rotating BH solution found by Ba\~nados, Teitelboim and Zanelli (BTZ) which can be also described by 2D charged dilatonic BH. Evaluating the one-loop effective action for dilaton coupled scalars in large $N$ (and s-wave approximation for BTZ case), we show that quantum-corrected BHs may evaporate or else anti-evaporate similarly to 4D Nariai BH as is observed by Bousso and Hawking. Higher modes may cause the disintegration of BH in accordance with recent observation by Bousso.