English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper delineates the first steps in a systematic quantitative study ofthe spacetime fluctuations induced by quantum fields in an evaporating blackhole under the stochastic gravity program. The central object of interest isthe noise kernel, which is the symmetrized two-point quantum correlationfunction of the stress tensor operator. As a concrete example we apply it tothe study of the spherically-symmetric sector of metric perturbations around anevaporating black hole background geometry. For macroscopic black holes we findthat those fluctuations grow and eventually become important when consideringsufficiently long periods of time (of the order of the evaporation time), butwell before the Planckian regime is reached. In addition, the assumption of asimple correlation between the fluctuations of the energy flux crossing thehorizon and far from it, which was made in earlier work onspherically-symmetric induced fluctuations, is carefully scrutinized and foundto be invalid. Our analysis suggests the existence of an infinite amplitude forthe fluctuations when trying to localize the horizon as a three-dimensionalhypersurface, as in the classical case, and, as a consequence, a more accuratepicture of the horizon as possessing a finite effective width due to quantumfluctuations. This is supported by a systematic analysis of the noise kernel incurved spacetime smeared with different functions under different conditions,the details are collected in the appendices. This case study shows a pathwayfor probing quantum metric fluctuations near the horizon and understandingtheir physical meaning.

Metric fluctuations of an evaporating black hole from back reaction of stress tensor fluctuations