Semiclassical S-matrix for black holes
- European Organization for Nuclear Research (CERN), Geneva (Switzerland); Univ. of Connecticut, Storrs, CT (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Institute for Nuclear Research of the Russian Academy of Sciences, Moscow (Russia)
- 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)
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.
- Research Organization:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- SC00112704
- OSTI ID:
- 1246795
- Report Number(s):
- BNL-111971-2016-JA; R&D Project: PO-3
- Journal Information:
- Journal of High Energy Physics (Online), Vol. 2015, Issue 12; ISSN 1029-8479
- Publisher:
- Springer BerlinCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
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