Black hole fluctuations and dynamics from back-reaction of Hawking radiation: Current work and further studies based on stochastic gravity

TL;DR

This paper reviews progress on understanding black hole spacetime fluctuations caused by quantum effects, focusing on back-reaction of Hawking radiation, and proposes new ideas for future research in stochastic gravity.

Contribution

It provides a systematic overview of current research and introduces unpublished ideas for studying black hole fluctuations via stochastic gravity.

Findings

Black hole fluctuations influenced by quantum fields

Back-reaction of Hawking radiation affects spacetime dynamics

Proposes new directions for stochastic gravity studies

Abstract

We give a progress report of our research on spacetime fluctuations induced by quantum fields in an evaporating black hole and a black hole in quasi-equilibrium with its Hawking radiation. We note the main issues involved in these two classes of problems and outline the key steps for a systematic quantitative investigation. This report contains unpublished new ideas for further studies.