Cosmological singularities, entanglement and quantum extremal surfaces
Abstract We study aspects of entanglement and extremal surfaces in various families of spacetimes exhibiting cosmological, Big-Crunch, singularities, in particular isotropic AdS Kasner. The classical extremal surface dips into the bulk radial and time directions. Explicitly analysing the extremizati...
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Format: | Article |
Language: | English |
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SpringerOpen
2021-04-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP04(2021)200 |
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author | A. Manu K. Narayan Partha Paul |
author_facet | A. Manu K. Narayan Partha Paul |
author_sort | A. Manu |
collection | DOAJ |
description | Abstract We study aspects of entanglement and extremal surfaces in various families of spacetimes exhibiting cosmological, Big-Crunch, singularities, in particular isotropic AdS Kasner. The classical extremal surface dips into the bulk radial and time directions. Explicitly analysing the extremization equations in the semiclassical region far from the singularity, we find the surface bends in the direction away from the singularity. In the 2-dim cosmologies obtained by dimensional reduction of these and other singularities, we have studied quantum extremal surfaces by extremizing the generalized entropy. The resulting extremization shows the quantum extremal surfaces to always be driven to the semiclassical region far from the singularity. We give some comments and speculations on our analysis. |
first_indexed | 2024-12-21T13:09:20Z |
format | Article |
id | doaj.art-c43e4fc57891472a8a2c6efb3387e542 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-21T13:09:20Z |
publishDate | 2021-04-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-c43e4fc57891472a8a2c6efb3387e5422022-12-21T19:02:56ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021412810.1007/JHEP04(2021)200Cosmological singularities, entanglement and quantum extremal surfacesA. Manu0K. Narayan1Partha Paul2Chennai Mathematical InstituteChennai Mathematical InstituteChennai Mathematical InstituteAbstract We study aspects of entanglement and extremal surfaces in various families of spacetimes exhibiting cosmological, Big-Crunch, singularities, in particular isotropic AdS Kasner. The classical extremal surface dips into the bulk radial and time directions. Explicitly analysing the extremization equations in the semiclassical region far from the singularity, we find the surface bends in the direction away from the singularity. In the 2-dim cosmologies obtained by dimensional reduction of these and other singularities, we have studied quantum extremal surfaces by extremizing the generalized entropy. The resulting extremization shows the quantum extremal surfaces to always be driven to the semiclassical region far from the singularity. We give some comments and speculations on our analysis.https://doi.org/10.1007/JHEP04(2021)2002D GravityAdS-CFT Correspondence |
spellingShingle | A. Manu K. Narayan Partha Paul Cosmological singularities, entanglement and quantum extremal surfaces Journal of High Energy Physics 2D Gravity AdS-CFT Correspondence |
title | Cosmological singularities, entanglement and quantum extremal surfaces |
title_full | Cosmological singularities, entanglement and quantum extremal surfaces |
title_fullStr | Cosmological singularities, entanglement and quantum extremal surfaces |
title_full_unstemmed | Cosmological singularities, entanglement and quantum extremal surfaces |
title_short | Cosmological singularities, entanglement and quantum extremal surfaces |
title_sort | cosmological singularities entanglement and quantum extremal surfaces |
topic | 2D Gravity AdS-CFT Correspondence |
url | https://doi.org/10.1007/JHEP04(2021)200 |
work_keys_str_mv | AT amanu cosmologicalsingularitiesentanglementandquantumextremalsurfaces AT knarayan cosmologicalsingularitiesentanglementandquantumextremalsurfaces AT parthapaul cosmologicalsingularitiesentanglementandquantumextremalsurfaces |