Extraction of Black Hole Geometry in Exactly Quantized Two Dimensional Dilaton Gravity

TL;DR

This paper demonstrates how to extract space-time geometry from an exactly quantized two-dimensional dilaton gravity model, showing that matter shock waves can generate black holes without naked singularities.

Contribution

It provides a method to explicitly derive space-time geometry in an exactly solvable quantum gravity model, advancing understanding of black hole formation in quantum regimes.

Findings

Black hole formation from matter shock waves without naked singularities

Explicit extraction of space-time geometry in an exactly quantized model

Validation of the model's ability to produce physically consistent black holes

Abstract

Based on our previous work, in which a model of two dimensional dilaton gravity of the type proposed by Callan, Giddings, Harvey and Strominger was rigorously quantized, we explicitly demonstrate how one can extract space-time geometry in exactly solvable theory of quantum gravity. In particular, we have been able to produce a prototypical configuration in which a ( smeared ) matter shock wave generates a black hole without naked sigularity.