Quantum Mechanics of the Interior of Radiating 2-D Black Holes

TL;DR

This paper analyzes the quantum behavior of 2D radiating black holes within the RST model, revealing multiple quantum theories that resolve singularities and suggesting stable remnants, thus advancing black hole quantum gravity understanding.

Contribution

It provides exact classical solutions, explores quantization choices, and demonstrates singularity resolution and potential stable remnants in the quantum theory of 2D black holes.

Findings

Different quantization measures lead to inequivalent theories.

All theories resolve the classical singularity.

Existence of bound states indicating stable remnants.

Abstract

We study the homogeneous sector of the RST model describing the gravitational dynamics, including back-reaction, of radiating 2-d black holes. We find the exact solutions both in conformal gauge and in time-parametrized form, isolate the black hole sector of the classical phase space and quantize the near singularity dynamics in conformal gauge. We show that different choices of measure and different self-adjoint extensions can lead to inequivalent quantum theories, all of which resolve the singularity. For a specific range of extension parameters, the Hamiltonian spectrum admits bound states that correspond physically to stable remnants. Finally, we argue that our work provides a good starting point for quantization of the full homogeneous theory using both reduced and Dirac quantization.