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Probing crunching AdS cosmologies

Prem Kumar Orcid Logo, Vladislav Vaganov

Journal of High Energy Physics, Volume: 2016, Issue: 2

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1007/JHEP02(2016)026

Abstract

Holographic gravity duals of deformations of CFTs formulated on de Sitter spacetime contain FRW geometries behind a horizon, with cosmological big crunch singularities. Using a specific analytically tractable solution within a particular single scalar truncation of N=8 supergravity on AdS_4, we firs...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa24317
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spelling 2020-08-13T09:55:31.9846040 v2 24317 2015-11-12 Probing crunching AdS cosmologies 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2015-11-12 SPH Holographic gravity duals of deformations of CFTs formulated on de Sitter spacetime contain FRW geometries behind a horizon, with cosmological big crunch singularities. Using a specific analytically tractable solution within a particular single scalar truncation of N=8 supergravity on AdS_4, we first probe such crunching cosmologies with spacelike radial geodesics that compute spatially antipodal correlators of large dimension boundary operators. At late times, the geodesics lie on the FRW slice of maximal expansion behind the horizon. The late time two-point functions factorise, and when transformed to the Einstein static universe, they exhibit a temporal non-analyticity determined by the maximal value of the scale factor a_max. Radial geodesics connecting antipodal points necessarily have de Sitter energy E &#60; a_max, while geodesics with E &#62; a_max terminate at the crunch, the two categories of geodesics being separated by the maximal expansion slice.The spacelike crunch singularity is curved ``outward'' in the Penrose diagram for the deformed AdS backgrounds, and thus geodesic limits of the antipodal correlators do not directly probe the crunch. Beyond the geodesic limit, we point out that the scalar wave equation, analytically continued into the FRW patch, has a potential which is singular at the crunch along with complex WKB turning points in the vicinity of the FRW crunch. We then argue that the frequency space Green's function has a branch point determined by a_max which corresponds to the lowest quasinormal frequency. Journal Article Journal of High Energy Physics 2016 2 1029-8479 Gauge-gravity correspondence; AdS-CFT Correspondence; Spacetime Singularities 3 2 2016 2016-02-03 10.1007/JHEP02(2016)026 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University SCOAP3 2020-08-13T09:55:31.9846040 2015-11-12T11:26:00.5436676 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Prem Kumar 0000-0003-0867-4213 1 Vladislav Vaganov 2 0024317-05022016154943.pdf JHEP02(2016)026v2.pdf 2016-02-05T15:49:43.1130000 Output 995972 application/pdf Version of Record true Released under the terms of the Creative Commons Attribution 4.0 International License (CC-BY). true eng (https://creativecommons.org/licenses/by/4.0)
title Probing crunching AdS cosmologies
spellingShingle Probing crunching AdS cosmologies
Prem Kumar
title_short Probing crunching AdS cosmologies
title_full Probing crunching AdS cosmologies
title_fullStr Probing crunching AdS cosmologies
title_full_unstemmed Probing crunching AdS cosmologies
title_sort Probing crunching AdS cosmologies
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Prem Kumar
Vladislav Vaganov
format Journal article
container_title Journal of High Energy Physics
container_volume 2016
container_issue 2
publishDate 2016
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/JHEP02(2016)026
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description Holographic gravity duals of deformations of CFTs formulated on de Sitter spacetime contain FRW geometries behind a horizon, with cosmological big crunch singularities. Using a specific analytically tractable solution within a particular single scalar truncation of N=8 supergravity on AdS_4, we first probe such crunching cosmologies with spacelike radial geodesics that compute spatially antipodal correlators of large dimension boundary operators. At late times, the geodesics lie on the FRW slice of maximal expansion behind the horizon. The late time two-point functions factorise, and when transformed to the Einstein static universe, they exhibit a temporal non-analyticity determined by the maximal value of the scale factor a_max. Radial geodesics connecting antipodal points necessarily have de Sitter energy E &#60; a_max, while geodesics with E &#62; a_max terminate at the crunch, the two categories of geodesics being separated by the maximal expansion slice.The spacelike crunch singularity is curved ``outward'' in the Penrose diagram for the deformed AdS backgrounds, and thus geodesic limits of the antipodal correlators do not directly probe the crunch. Beyond the geodesic limit, we point out that the scalar wave equation, analytically continued into the FRW patch, has a potential which is singular at the crunch along with complex WKB turning points in the vicinity of the FRW crunch. We then argue that the frequency space Green's function has a branch point determined by a_max which corresponds to the lowest quasinormal frequency.
published_date 2016-02-03T03:28:48Z
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score 11.037056

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