Islands and Page curves for evaporating black holes in JT gravity

Abstract The effect of a CFT shockwave on the entanglement structure of an eternal black hole in Jackiw-Teitelboim gravity, that is in thermal equilibrium with a thermal bath, is considered. The shockwave carries energy and entropy into the black hole and heats the black hole up leading to evaporati...

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Main Authors: Timothy J. Hollowood, S. Prem Kumar
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2020)094
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author Timothy J. Hollowood
S. Prem Kumar
author_facet Timothy J. Hollowood
S. Prem Kumar
author_sort Timothy J. Hollowood
collection DOAJ
description Abstract The effect of a CFT shockwave on the entanglement structure of an eternal black hole in Jackiw-Teitelboim gravity, that is in thermal equilibrium with a thermal bath, is considered. The shockwave carries energy and entropy into the black hole and heats the black hole up leading to evaporation and the eventual recovery of equilibrium. We find an analytical description of the entire relaxational process within the semiclassical high temperature regime. If the shockwave is inserted around the Page time then several scenarios are possible depending on the parameters. The Page time can be delayed or hastened and there can be more than one transition. The final entropy saddle has a quantum extremal surface that generically starts inside the horizon but at some later time moves outside. In general, increased shockwave energy and slow evaporation rate favour the extremal surface to be inside the horizon. The shockwave also disrupts the scrambling properties of the black hole. The same analysis is then applied to a shockwave inserted into the extremal black hole with similar conclusions.
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spelling doaj.art-41d68089f66840399f18137fcee2d2d52022-12-22T01:06:38ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020813910.1007/JHEP08(2020)094Islands and Page curves for evaporating black holes in JT gravityTimothy J. Hollowood0S. Prem Kumar1Department of Physics, Swansea UniversityDepartment of Physics, Swansea UniversityAbstract The effect of a CFT shockwave on the entanglement structure of an eternal black hole in Jackiw-Teitelboim gravity, that is in thermal equilibrium with a thermal bath, is considered. The shockwave carries energy and entropy into the black hole and heats the black hole up leading to evaporation and the eventual recovery of equilibrium. We find an analytical description of the entire relaxational process within the semiclassical high temperature regime. If the shockwave is inserted around the Page time then several scenarios are possible depending on the parameters. The Page time can be delayed or hastened and there can be more than one transition. The final entropy saddle has a quantum extremal surface that generically starts inside the horizon but at some later time moves outside. In general, increased shockwave energy and slow evaporation rate favour the extremal surface to be inside the horizon. The shockwave also disrupts the scrambling properties of the black hole. The same analysis is then applied to a shockwave inserted into the extremal black hole with similar conclusions.http://link.springer.com/article/10.1007/JHEP08(2020)094Black Holes2D GravityAdS-CFT CorrespondenceConformal Field Theory
spellingShingle Timothy J. Hollowood
S. Prem Kumar
Islands and Page curves for evaporating black holes in JT gravity
Journal of High Energy Physics
Black Holes
2D Gravity
AdS-CFT Correspondence
Conformal Field Theory
title Islands and Page curves for evaporating black holes in JT gravity
title_full Islands and Page curves for evaporating black holes in JT gravity
title_fullStr Islands and Page curves for evaporating black holes in JT gravity
title_full_unstemmed Islands and Page curves for evaporating black holes in JT gravity
title_short Islands and Page curves for evaporating black holes in JT gravity
title_sort islands and page curves for evaporating black holes in jt gravity
topic Black Holes
2D Gravity
AdS-CFT Correspondence
Conformal Field Theory
url http://link.springer.com/article/10.1007/JHEP08(2020)094
work_keys_str_mv AT timothyjhollowood islandsandpagecurvesforevaporatingblackholesinjtgravity
AT spremkumar islandsandpagecurvesforevaporatingblackholesinjtgravity