Black Hole from Black Hole in Two Dimensions

TL;DR

This paper introduces a novel quantum two-dimensional dilaton gravity model based on a deformed $SL(2,R)/U(1)$ gauged Wess-Zumino-Witten model, revealing that black hole singularities can be avoided and Hawking radiation ceases as the Bondi mass diminishes.

Contribution

The paper develops a new quantum gravity model using a deformed Wess-Zumino-Witten framework and analyzes its properties, including singularity absence and Hawking radiation behavior.

Findings

Curvature singularity does not appear at large $k$.

Hawking radiation rate decreases to zero as Bondi mass approaches zero.

Quantum black hole stabilizes with bounded Bondi mass.

Abstract

We present a new class of quantum two dimensional dilaton gravity model, which is described by $SL(2,R)/U(1)$ gauged Wess-Zumino-Witten model deformed by $(1,1)$-operator. We analyze the model by ${1 \over k}$ expansion ($k$ is the level of $SL(2,R)$ Wess-Zumino-Witten model) and we find that the curvature singularity does not appear when $k$ is large and the Bondi mass is bounded from below. Furthermore, the rate of the Hawking radiation in the quantum black hole created by shock wave goes to zero asymptotically and the radiation stops when the Bondi mass vanishes.