Following the primordial perturbations through a bounce with AdS/CFT correspondence

Abstract A bounce universe model, known as the coupled-scalar-tachyon bounce (CSTB) universe, has been shown to solve the Horizon, Flatness and Homogeneity problems as well as the Big Bang singularity problem. Furthermore a scale invariant spectrum of primordial density perturbations generated from...

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Main Authors: Lei Ming, Taifan Zheng, Yeuk-Kwan E. Cheung
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-6228-8
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author Lei Ming
Taifan Zheng
Yeuk-Kwan E. Cheung
author_facet Lei Ming
Taifan Zheng
Yeuk-Kwan E. Cheung
author_sort Lei Ming
collection DOAJ
description Abstract A bounce universe model, known as the coupled-scalar-tachyon bounce (CSTB) universe, has been shown to solve the Horizon, Flatness and Homogeneity problems as well as the Big Bang singularity problem. Furthermore a scale invariant spectrum of primordial density perturbations generated from the phase of pre-bounce contraction is shown to be stable against time evolution. In this work we study the detailed dynamics of the bounce and its imprints on the scale invariance of the spectrum. The dynamics of the gravitational interactions near the bounce point may be strongly coupled as the spatial curvature becomes big. There is no a prior reason to expect the spectral index of the primordial perturbations of matter density can be preserved. By encoding the bounce dynamics holographically onto the dynamics of dual Yang–Mills system while the latter is weakly coupled, via the AdS/CFT correspondence, we can safely evolve the spectrum of the cosmic perturbations with full control. In this way we can compare the post-bounce spectrum with the pre-bounce one: in the CSTB model we explicitly show that the spectrum of primordial density perturbations generated in the contraction phase preserves its stability as well as scale invariance throughout the bounce process.
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spelling doaj.art-98b26627a9a943feb8aca34d0fd4535c2022-12-22T00:47:01ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-09-0178911410.1140/epjc/s10052-018-6228-8Following the primordial perturbations through a bounce with AdS/CFT correspondenceLei Ming0Taifan Zheng1Yeuk-Kwan E. Cheung2Department of Physics, Nanjing UniversityDepartment of Physics, Nanjing UniversityDepartment of Physics, Nanjing UniversityAbstract A bounce universe model, known as the coupled-scalar-tachyon bounce (CSTB) universe, has been shown to solve the Horizon, Flatness and Homogeneity problems as well as the Big Bang singularity problem. Furthermore a scale invariant spectrum of primordial density perturbations generated from the phase of pre-bounce contraction is shown to be stable against time evolution. In this work we study the detailed dynamics of the bounce and its imprints on the scale invariance of the spectrum. The dynamics of the gravitational interactions near the bounce point may be strongly coupled as the spatial curvature becomes big. There is no a prior reason to expect the spectral index of the primordial perturbations of matter density can be preserved. By encoding the bounce dynamics holographically onto the dynamics of dual Yang–Mills system while the latter is weakly coupled, via the AdS/CFT correspondence, we can safely evolve the spectrum of the cosmic perturbations with full control. In this way we can compare the post-bounce spectrum with the pre-bounce one: in the CSTB model we explicitly show that the spectrum of primordial density perturbations generated in the contraction phase preserves its stability as well as scale invariance throughout the bounce process.http://link.springer.com/article/10.1140/epjc/s10052-018-6228-8
spellingShingle Lei Ming
Taifan Zheng
Yeuk-Kwan E. Cheung
Following the primordial perturbations through a bounce with AdS/CFT correspondence
European Physical Journal C: Particles and Fields
title Following the primordial perturbations through a bounce with AdS/CFT correspondence
title_full Following the primordial perturbations through a bounce with AdS/CFT correspondence
title_fullStr Following the primordial perturbations through a bounce with AdS/CFT correspondence
title_full_unstemmed Following the primordial perturbations through a bounce with AdS/CFT correspondence
title_short Following the primordial perturbations through a bounce with AdS/CFT correspondence
title_sort following the primordial perturbations through a bounce with ads cft correspondence
url http://link.springer.com/article/10.1140/epjc/s10052-018-6228-8
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