Singularities in 2D and 3D quantum black holes

TL;DR

This paper investigates the nature of singularities in 2D and 3D quantum black holes, demonstrating how quantum effects influence horizon structure and support cosmic censorship.

Contribution

It introduces a dimensional reduction approach to derive 2D black hole solutions from 3D quantum BTZ black holes and analyzes quantum effects on horizon singularities.

Findings

Quantum BTZ solutions derived from higher dimensions

Identification of dilaton potential from higher-dimensional theories

Quantum effects cause the inner horizon of rotating BTZ black holes to become singular

Abstract

We study black holes in two and three dimensions that have spacelike curvature singularities behind horizons. The 2D solutions are obtained by dimensionally reducing certain 3D black holes, known as quantum BTZ solutions. Furthermore, we identify the corresponding dilaton potential and show how it can arise from a higher-dimensional theory. Finally, we show that the rotating BTZ black hole develops a singular inner horizon once quantum effects are properly accounted for, thereby solidifying strong cosmic censorship for all known cases.