De Sitter stability and coarse graining
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Published version
Author(s)
Markkanen, TT
Type
Journal Article
Abstract
We present a 4-dimensional back reaction analysis of de Sitter space for a conformally coupled scalar field in the presence of vacuum energy initialized in the Bunch–Davies vacuum. In contrast to the usual semi-classical prescription, as the source term in the Friedmann equations we use expectation values where the unobservable information hidden by the cosmological event horizon has been neglected i.e. coarse grained over. It is shown that in this approach the energy-momentum is precisely thermal with constant temperature despite the dilution from the expansion of space due to a flux of energy radiated from the horizon. This leads to a self-consistent solution for the Hubble rate, which is gradually evolving and at late times deviates significantly from de Sitter. Our results hence imply de Sitter space to be unstable in this prescription. The solution also suggests dynamical vacuum energy: the continuous flux of energy is balanced by the generation of negative vacuum energy, which accumulatively decreases the overall contribution. Finally, we show that our results admit a thermodynamic interpretation which provides a simple alternate derivation of the mechanism. For very long times the solutions coincide with flat space.
Date Issued
2018-02-02
Date Acceptance
2018-01-18
Citation
European Physical Journal C: Particles and Fields, 2018, 78
ISSN
1434-6044
Publisher
Springer Verlag (Germany)
Journal / Book Title
European Physical Journal C: Particles and Fields
Volume
78
Copyright Statement
© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
License URL
Sponsor
Science and Technology Facilities Council (STFC)
Grant Number
ST/P000762/1
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
ENERGY-MOMENTUM TENSOR
DECAYING VACUUM ENERGY
BLACK-HOLE
ADIABATIC REGULARIZATION
COSMOLOGICAL CONSTANT
PARTICLE CREATION
DESITTER SPACE
SCALAR FIELD
CONFORMAL ANOMALIES
QUANTUM INSTABILITY
gr-qc
astro-ph.CO
hep-th
0206 Quantum Physics
0202 Atomic, Molecular, Nuclear, Particle And Plasma Physics
Nuclear & Particles Physics
Publication Status
Published
Article Number
97