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Cosmic Equilibration: A Holographic No-Hair Theorem from the Generalized Second Law

Carroll, Sean M. and Chatwin-Davies, Aidan (2018) Cosmic Equilibration: A Holographic No-Hair Theorem from the Generalized Second Law. Physical Review D, 97 (4). Art. No. 046012. ISSN 2470-0010. http://resolver.caltech.edu/CaltechAUTHORS:20170330-143452297

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Abstract

In a wide class of cosmological models, a positive cosmological constant drives cosmological evolution toward an asymptotically de Sitter phase. Here we connect this behavior to the increase of entropy over time, based on the idea that de Sitter spacetime is a maximum-entropy state. We prove a cosmic no-hair theorem for Robertson-Walker and Bianchi I spacetimes that admit a Q-screen (“quantum” holographic screen) with certain entropic properties: If generalized entropy, in the sense of the cosmological version of the generalized second law conjectured by Bousso and Engelhardt, increases up to a finite maximum value along the screen, then the spacetime is asymptotically de Sitter in the future. Moreover, the limiting value of generalized entropy coincides with the de Sitter horizon entropy. We do not use the Einstein field equations in our proof, nor do we assume the existence of a positive cosmological constant. As such, asymptotic relaxation to a de Sitter phase can, in a precise sense, be thought of as cosmological equilibration.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.97.046012DOIArticle
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.97.046012PublisherArticle
http://arxiv.org/abs/1703.09241arXivDiscussion Paper
ORCID:
AuthorORCID
Carroll, Sean M.0000-0002-4226-5758
Chatwin-Davies, Aidan0000-0003-1406-9271
Additional Information:© 2018 Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. Received 25 April 2017; published 23 February 2018. We would like to thank Cliff Cheung, John Preskill, and Alan Weinstein for helpful discussions. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, as well as by the Walter Burke Institute for Theoretical Physics at Caltech and the Gordon and Betty Moore Foundation through Grant No. 776 to the Caltech Moore Center for Theoretical Cosmology and Physics.
Group:Walter Burke Institute for Theoretical Physics, Moore Center for Theoretical Cosmology and Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Gordon and Betty Moore Foundation776
SCOAP3UNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2017-013
Record Number:CaltechAUTHORS:20170330-143452297
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170330-143452297
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:75553
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:30 Mar 2017 21:50
Last Modified:27 Feb 2018 18:21

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