QUANTUM CORRECTIONS AND EXTREMAL BLACK HOLES

TL;DR

This paper investigates how quantum corrections influence the end state of black holes in two-dimensional models, suggesting extremal black holes as potential final states classically, but not in the full quantum theory.

Contribution

It introduces a non-perturbative correction to the CGHS model that results in extremal black holes classically, offering insights into black hole evaporation and quantum effects.

Findings

Classical solutions can lead to extremal black holes with corrections.

Full quantum theory does not support extremal black hole solutions.

Provides a toy model for understanding black hole evaporation and quantum gravity effects.

Abstract

We consider static solutions of two dimensional dilaton gravity models as toy laboratories to address the question of the final fate of black holes. A non perturbative correction to the CGHS potential term is shown to lead classically to an extremal black hole geometry, thus providing a plausible solution to Hawking evaporation paradox. However, the full quantum theory does not admit an extremal solution.