Dynamical Instability of a two-dimensional Quantum Black Hole

TL;DR

This paper analyzes the stability of a two-dimensional quantum black hole model, revealing that it exhibits at least one instability mode across various parameters, challenging its presumed equilibrium state.

Contribution

It provides the first detailed stability analysis of Lowe's two-dimensional quantum black hole model, identifying its inherent dynamical instability.

Findings

The model has at least one instability mode.

The instability persists over a wide parameter range.

The black hole model is dynamically unstable.

Abstract

We investigate dynamical instability of a two-dimensional quantum black hole model considered by Lowe in his study of Hawking evaporation. The model is supposed to express a black hole in equilibrium with a bath of Hawking radiation. It turns out that the model has at least one instability modes for a wide range of parameters, and thus it is unstable.