Semiclassical Smatrix for black holes
In this study, we propose a semiclassical method to calculate Smatrix elements for twostage gravitational transitions involving matter collapse into a black hole and evaporation of the latter. The method consistently incorporates backreaction of the collapsing and emitted quanta on the metric. We illustrate the method in several toy models describing spherical selfgravitating shells in asymptotically flat and AdS spacetimes. We find that electrically neutral shells reflect via the above collapseevaporation process with probability exp(–B), where B is the BekensteinHawking 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 ReissnerNordström black hole. As a result, our semiclassical method opens a new systematic approach to the gravitational Smatrix in the nonperturbative regime.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 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)
 Publication Date:
 Report Number(s):
 BNL1119712016JA
Journal ID: ISSN 10298479; R&D Project: PO3
 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 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Brookhaven National Laboratory (BNL), Upton, NY (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 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
 OSTI Identifier:
 1246795
Bezrukov, Fedor, Levkov, Dmitry, and Sibiryakov, Sergey. Semiclassical Smatrix for black holes. United States: N. p.,
Web. doi:10.1007/JHEP12(2015)002.
Bezrukov, Fedor, Levkov, Dmitry, & Sibiryakov, Sergey. Semiclassical Smatrix for black holes. United States. doi:10.1007/JHEP12(2015)002.
Bezrukov, Fedor, Levkov, Dmitry, and Sibiryakov, Sergey. 2015.
"Semiclassical Smatrix for black holes". United States.
doi:10.1007/JHEP12(2015)002. https://www.osti.gov/servlets/purl/1246795.
@article{osti_1246795,
title = {Semiclassical Smatrix for black holes},
author = {Bezrukov, Fedor and Levkov, Dmitry and Sibiryakov, Sergey},
abstractNote = {In this study, we propose a semiclassical method to calculate Smatrix elements for twostage gravitational transitions involving matter collapse into a black hole and evaporation of the latter. The method consistently incorporates backreaction of the collapsing and emitted quanta on the metric. We illustrate the method in several toy models describing spherical selfgravitating shells in asymptotically flat and AdS spacetimes. We find that electrically neutral shells reflect via the above collapseevaporation process with probability exp(–B), where B is the BekensteinHawking 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 ReissnerNordström black hole. As a result, our semiclassical method opens a new systematic approach to the gravitational Smatrix in the nonperturbative regime.},
doi = {10.1007/JHEP12(2015)002},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2015,
place = {United States},
year = {2015},
month = {12}
}