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Black hole thermodynamics with dynamical lambda

Gregory, Ruth; Kastor, David; Traschen, Jennie

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Authors

Ruth Gregory

David Kastor

Jennie Traschen



Abstract

We study evolution and thermodynamics of a slow-roll transition between early and late time de Sitter phases, both in the homogeneous case and in the presence of a black hole, in a scalar field model with a generic potential having both a maximum and a positive minimum. Asymptotically future de Sitter spacetimes are characterized by ADM charges known as cosmological tensions. We show that the late time de Sitter phase has finite cosmological tension when the scalar field oscillation around its minimum is underdamped, while the cosmological tension in the overdamped case diverges. We compute the variation in the cosmological and black hole horizon areas between the early and late time phases, finding that the fractional change in horizon area is proportional to the corresponding fractional change in the effective cosmological constant. We show that the extended first law of thermodynamics, including variation in the effective cosmological constant, is satisfied between the initial and final states, and discuss the dynamical evolution of the black hole temperature.

Citation

Gregory, R., Kastor, D., & Traschen, J. (2017). Black hole thermodynamics with dynamical lambda. Journal of High Energy Physics, 2017(10), Article 118. https://doi.org/10.1007/jhep10%282017%29118

Journal Article Type Article
Acceptance Date Oct 3, 2017
Online Publication Date Oct 18, 2017
Publication Date Oct 18, 2017
Deposit Date Oct 24, 2017
Publicly Available Date Oct 24, 2017
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2017
Issue 10
Article Number 118
DOI https://doi.org/10.1007/jhep10%282017%29118

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
© The Author(s) 2017 Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in
any medium, provided the original author(s) and source are credited.






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