Quantum extreme black holes at finite temperature and exactly solvable models of 2d dilaton gravity

TL;DR

This paper demonstrates the existence of quantum-induced extreme black hole solutions at finite temperature in 2D dilaton gravity, where quantum effects regularize the horizon and prevent classical counterparts.

Contribution

It introduces self-consistent quantum solutions describing extreme black holes at nonzero temperature in 2D dilaton gravity, highlighting their purely quantum origin.

Findings

Curvature remains finite at the horizon due to quantum effects.

Quantum solutions exist without classical counterparts.

Thermal divergencies are canceled by quantum stress-energy tensor contributions.

Abstract

It is argued that in certain 2d dilaton gravity theories there exist self-consistent solutions of field equations with quantum terms which describe extreme black holes at nonzero temperature. The curvature remains finite on the horizon due to cancelation of thermal divergencies in the stress-energy tensor against divergencies in the classical part of field equations. The extreme black hole solutions under discussion are due to quantum effects only and do not have classical counterparts.