caa a22 4500 463195701 CHVBK 20180406164922.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s10773-007-9338-x doi (NATIONALLICENCE)springer-10.1007/s10773-007-9338-x Fluctuations of an Evaporating Black Hole from Back Reaction of Its Hawking Radiation: Questioning aPremise in Earlier Work [Elektronische Daten] [B. Hu, Albert Roura] This paper delineates the first steps in a systematic quantitative study of the spacetime fluctuations induced by quantum fields in an evaporating black hole. We explain how the stochastic gravity formalism can be a useful tool for that purpose within a low-energy effective field theory approach to quantum gravity. As an explicit example we apply it to the study of the spherically-symmetric sector of metric perturbations around an evaporating black hole background geometry. For macroscopic black holes we find that those fluctuations grow and eventually become important when considering sufficiently long periods of time (of the order of the evaporation time), but well before the Planckian regime is reached. In addition, the assumption of a simple correlation between the fluctuations of the energy flux crossing the horizon and far from it, which was made in earlier work on spherically-symmetric induced fluctuations, is carefully analyzed and found to be invalid. Our analysis suggests the existence of an infinite amplitude for the fluctuations of the horizon as a three-dimensional hypersurface. We emphasize the need for understanding and designing operational ways of probing quantum metric fluctuations near the horizon and extracting physically meaningful information. Springer Science+Business Media, LLC, 2007 Hu B. Department of Physics, University of Maryland, 20742-4111, College Park, MD, USA aut Roura Albert Department of Physics, University of Maryland, 20742-4111, College Park, MD, USA aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/9(2007-09-01), 2204-2217 0020-7748 46:9<2204 2007 46 10773 https://doi.org/10.1007/s10773-007-9338-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9338-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hu B. Department of Physics, University of Maryland, 20742-4111, College Park, MD, USA aut NATIONALLICENCE 700 1- Roura Albert Department of Physics, University of Maryland, 20742-4111, College Park, MD, USA aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/9(2007-09-01), 2204-2217 0020-7748 46:9<2204 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer