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Title: Semiclassical S-matrix for black holes

In this study, we propose a semiclassical method to calculate S-matrix elements for two-stage gravitational transitions involving matter collapse into a black hole and evaporation of the latter. The method consistently incorporates back-reaction of the collapsing and emitted quanta on the metric. We illustrate the method in several toy models describing spherical self-gravitating shells in asymptotically flat and AdS space-times. We find that electrically neutral shells reflect via the above collapse-evaporation process with probability exp(–B), where B is the Bekenstein-Hawking entropy of the intermediate black hole. This is consistent with interpretation of exp(B) as the number of black hole states. The same expression for the probability is obtained in the case of charged shells if one takes into account instability of the Cauchy horizon of the intermediate Reissner-Nordström black hole. As a result, our semiclassical method opens a new systematic approach to the gravitational S-matrix in the non-perturbative regime.
Authors:
 [1] ;  [2] ;  [3]
  1. European Organization for Nuclear Research (CERN), Geneva (Switzerland); Univ. of Connecticut, Storrs, CT (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Institute for Nuclear Research of the Russian Academy of Sciences, Moscow (Russia)
  3. Institute for Nuclear Research of the Russian Academy of Sciences, Moscow (Russia); European Organization for Nuclear Research (CERN), Geneva (Switzerland)' FSB/ITP/LPPC Ecole Polytechnique Federale de Lausanne, Lausanne (Switzerland)
Publication Date:
OSTI Identifier:
1246795
Report Number(s):
BNL--111971-2016-JA
Journal ID: ISSN 1029-8479; R&D Project: PO-3
Grant/Contract Number:
SC00112704
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 12; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Riken BNL Research Center; black holes; Models of Quantum Gravity