Equilibrium Two-Dimensional Dilatonic Spacetimes

TL;DR

This paper explores static solutions in two-dimensional dilaton gravity, discovering a new equilibrium black hole solution with potential implications for understanding Hawking radiation, back-reaction, and spacetime stability.

Contribution

It introduces a novel class of equilibrium black hole solutions in 2D dilaton gravity that remain stable under Hawking radiation and back-reaction effects.

Findings

Existence of a new equilibrium black hole solution

Solution remains qualitatively unchanged with Hawking radiation

Analysis of thermodynamics and stability of the solutions

Abstract

We study two-dimensional dilaton gravity coupled to massless scalar fields for static solutions. In addition to the well known black hole, we find another class of solutions that may be understood as that of the black hole in equilibrium with a radiation bath. We claim that there is a solution that is qualitatively unchanged after including Hawking radiation and back-reaction and is furthermore geodesically complete. We compute the thermodynamics of these spacetimes and their mass. We end with a brief discussion of the linear response about these solutions, its significance to stability and noise and a speculation regarding the endpoint of Hawking evaporation in four dimensions. (plain TeX; one figure, available upon request.)