From the BTZ black hole to JT gravity: geometrizing the island

Abstract We study the evaporation of two-dimensional black holes in JT gravity from a three-dimensional point of view. A partial dimensional reduction of AdS3 in Poincaré coordinates leads to an extremal 2D black hole in JT gravity coupled to a ‘bath’: the holographic dual of the remainder of the 3D...

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Autores principales:	Evita Verheijden, Erik Verlinde
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	2D Gravity AdS-CFT Correspondence Black Holes Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/68fe1445a3ad46a29c56529f56fc341d
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spelling	oai:doaj.org-article:68fe1445a3ad46a29c56529f56fc341d2021-11-21T12:41:42ZFrom the BTZ black hole to JT gravity: geometrizing the island10.1007/JHEP11(2021)0921029-8479https://doaj.org/article/68fe1445a3ad46a29c56529f56fc341d2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)092https://doaj.org/toc/1029-8479Abstract We study the evaporation of two-dimensional black holes in JT gravity from a three-dimensional point of view. A partial dimensional reduction of AdS3 in Poincaré coordinates leads to an extremal 2D black hole in JT gravity coupled to a ‘bath’: the holographic dual of the remainder of the 3D spacetime. Partially reducing the BTZ black hole gives us the finite temperature version. We compute the entropy of the radiation using geodesics in the three-dimensional spacetime. We then focus on the finite temperature case and describe the dynamics by introducing time-dependence into the parameter controlling the reduction. The energy of the black hole decreases linearly as we slowly move the dividing line between black hole and bath. Through a re-scaling of the BTZ parameters we map this to the more canonical picture of exponential evaporation. Finally, studying the entropy of the radiation over time leads to a geometric representation of the Page curve. The appearance of the island region is explained in a natural and intuitive fashion.Evita VerheijdenErik VerlindeSpringerOpenarticle2D GravityAdS-CFT CorrespondenceBlack HolesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-23 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	2D Gravity AdS-CFT Correspondence Black Holes Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	2D Gravity AdS-CFT Correspondence Black Holes Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Evita Verheijden Erik Verlinde From the BTZ black hole to JT gravity: geometrizing the island
description	Abstract We study the evaporation of two-dimensional black holes in JT gravity from a three-dimensional point of view. A partial dimensional reduction of AdS3 in Poincaré coordinates leads to an extremal 2D black hole in JT gravity coupled to a ‘bath’: the holographic dual of the remainder of the 3D spacetime. Partially reducing the BTZ black hole gives us the finite temperature version. We compute the entropy of the radiation using geodesics in the three-dimensional spacetime. We then focus on the finite temperature case and describe the dynamics by introducing time-dependence into the parameter controlling the reduction. The energy of the black hole decreases linearly as we slowly move the dividing line between black hole and bath. Through a re-scaling of the BTZ parameters we map this to the more canonical picture of exponential evaporation. Finally, studying the entropy of the radiation over time leads to a geometric representation of the Page curve. The appearance of the island region is explained in a natural and intuitive fashion.
format	article
author	Evita Verheijden Erik Verlinde
author_facet	Evita Verheijden Erik Verlinde
author_sort	Evita Verheijden
title	From the BTZ black hole to JT gravity: geometrizing the island
title_short	From the BTZ black hole to JT gravity: geometrizing the island
title_full	From the BTZ black hole to JT gravity: geometrizing the island
title_fullStr	From the BTZ black hole to JT gravity: geometrizing the island
title_full_unstemmed	From the BTZ black hole to JT gravity: geometrizing the island
title_sort	from the btz black hole to jt gravity: geometrizing the island
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/68fe1445a3ad46a29c56529f56fc341d
work_keys_str_mv	AT evitaverheijden fromthebtzblackholetojtgravitygeometrizingtheisland AT erikverlinde fromthebtzblackholetojtgravitygeometrizingtheisland
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From the BTZ black hole to JT gravity: geometrizing the island

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