Black Hole Evaporation in 1+1 Dimensions

TL;DR

This paper investigates black hole formation and evaporation in 1+1 dimensions using effective classical equations, revealing singularities and limitations in modeling the full evaporation process.

Contribution

It applies Callan et al.'s effective equations to study black hole back-reaction and highlights the breakdown of the model during complete evaporation.

Findings

Collapse leads to a curvature singularity.

Quantum corrections are unphysical near the singularity.

Model breaks down before black hole evaporation concludes.

Abstract

The formation and quantum mechanical evaporation of black holes in two spacetime dimensions can be studied using effective classical field equations, recently introduced by Callan {\it et al.} We find that gravitational collapse always leads to a curvature singularity, according to these equations, and that the region where the quantum corrections introduced by Callan {\it et al.} could be expected to dominate is on the unphysical side of the singularity. The model can be successfully applied to study the back-reaction of Hawking radiation on the geometry of large mass black holes, but the description breaks down before the evaporation is complete.