Notes on Black Hole Fluctuations and Backreaction

TL;DR

This paper introduces a stochastic semiclassical framework to systematically study black hole fluctuations and backreaction, aiming to improve understanding of metric fluctuations and Hawking radiation effects.

Contribution

It proposes a novel approach using the Einstein-Langevin equation and fluctuation-dissipation relation for a self-consistent analysis of black hole backreaction.

Findings

Framework for black hole fluctuation analysis

Incorporation of stochastic gravity methods

Potential insights into Hawking radiation backreaction

Abstract

In these notes we prepare the ground for a systematic investigation into the issues of black hole fluctuations and backreaction by discussing the formulation of the problem, commenting on possible advantages and shortcomings of existing works, and introducing our own approach via a stochastic semiclassical theory of gravity based on the Einstein-Langevin equation and the fluctuation-dissipation relation for a self-consistent description of metric fluctuations and dissipative dynamics of the black hole with backreaction of its Hawking radiance.