Evaporating Black Holes and Long Range Scaling

TL;DR

This paper explores how fluctuations in the vacuum stress tensor near a black hole horizon relate to the black hole's evaporation process, proposing a fluctuation-dissipation framework to describe evaporation dynamics.

Contribution

It establishes a principal relationship between stress tensor fluctuations and black hole evaporation, introducing a fluctuation-dissipation perspective to the process.

Findings

Fluctuations of the stress tensor are linked to the onset of evaporation.

A fluctuation-dissipation theorem may describe black hole evaporation.

Stress tensor fluctuations could serve as a key to understanding evaporation dynamics.

Abstract

For an effective treatment of the evaporation process of a large black hole the problem concerning the role played by the fluctuations of the (vacuum) stress tensor close to the horizon is addressed. We present arguments which establish a principal relationship between the outward fluctuations of the stress tensor close to the horizon and quantities describing the onset of the evaporation process. This suggest that the evaporation process may be described by a fluctuation-dissipation theorem relating the noise of the horizon to the black hole evaporation rate.