Transition between Schwarzschild black hole and string black hole

TL;DR

This paper investigates the quantum transition between Schwarzschild and string black holes in the large D limit, using a reduced two-dimensional model and Wheeler-De Witt equation to compute transition probabilities.

Contribution

It introduces a novel approach to analyze the quantum transition between black hole types via a two-dimensional reduction and wave function analysis, building on previous T-duality work.

Findings

Transition probability between black hole types calculated

Wave function states for each geometry identified

Quantum transition driven by string coupling

Abstract

In this paper, we aim to study the quantum transition between a Schwarzschild black hole and a string black hole in the large $D$ limit. Classically, such a transition between these two distinct black hole geometries is forbidden. The only feasible discussion is centered on how a black hole evaporates, loses mass, and transitions into highly excited fundamental strings. Building upon our previous work on T-duality between the Schwarzschild and string black holes, we reduce the problem to two dimensions, where the corresponding Wheeler-De Witt equation can be derived. Using this equation, we identify the two black hole geometries as distinct wave function states. This allows us to easily compute the transition probability between these two geometries, driven by the string coupling.