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Title: New dynamical instability in asymptotically anti–de Sitter spacetime

Abstract

We present fully dynamical solutions to Einstein-scalar theory in asymptotically anti–de Sitter spacetime with a scalar potential containing particularly rich physics. Depending on one parameter in the potential, we find an especially interesting regime, which exhibits a dynamically unstable black brane, already at zero momentum, while nevertheless having positive specific heat. We show this using the nonlinear dynamics and give a clear interpretation in terms of the spectrum of linearized perturbations. Our results translate directly to their dual strongly coupled nonconformal field theories, whereby we in particular provide two mechanisms to obtain equilibration times much larger than the inverse temperature.

Authors:
 [1];  [1];  [2]
+ Show Author Affiliations
  1. Univ. of Utrecht (Netherlands)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1505787
Alternate Identifier(s):
OSTI ID: 1325295
Grant/Contract Number:  
SC0011090
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 94; Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Gürsoy, Umut, Jansen, Aron, and van der Schee, Wilke. New dynamical instability in asymptotically anti–de Sitter spacetime. United States: N. p., 2016. Web. doi:10.1103/physrevd.94.061901.
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Gürsoy, Umut, Jansen, Aron, & van der Schee, Wilke. New dynamical instability in asymptotically anti–de Sitter spacetime. United States. https://doi.org/10.1103/physrevd.94.061901
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Gürsoy, Umut, Jansen, Aron, and van der Schee, Wilke. Fri . "New dynamical instability in asymptotically anti–de Sitter spacetime". United States. https://doi.org/10.1103/physrevd.94.061901. https://www.osti.gov/servlets/purl/1505787.
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@article{osti_1505787,
title = {New dynamical instability in asymptotically anti–de Sitter spacetime},
author = {Gürsoy, Umut and Jansen, Aron and van der Schee, Wilke},
abstractNote = {We present fully dynamical solutions to Einstein-scalar theory in asymptotically anti–de Sitter spacetime with a scalar potential containing particularly rich physics. Depending on one parameter in the potential, we find an especially interesting regime, which exhibits a dynamically unstable black brane, already at zero momentum, while nevertheless having positive specific heat. We show this using the nonlinear dynamics and give a clear interpretation in terms of the spectrum of linearized perturbations. Our results translate directly to their dual strongly coupled nonconformal field theories, whereby we in particular provide two mechanisms to obtain equilibration times much larger than the inverse temperature.},
doi = {10.1103/physrevd.94.061901},
journal = {Physical Review D},
number = 6,
volume = 94,
place = {United States},
year = {Fri Sep 16 00:00:00 EDT 2016},
month = {Fri Sep 16 00:00:00 EDT 2016}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/physrevd.94.061901
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Cited by: 28 works
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Figures / Tables:

FIG. 1 FIG. 1: (a) We show the dynamical solution formore » $\tilde{Φ}$ [as in Eq. (8)] with initial conditions given by j = 0.2, a4(0) = −1 and $\tilde{Φ}$($z$, 0) = 1.06822 for the potential (2) with $γ$ = 4$\sqrt{2}$/3. Interestingly, this evolution finds both an unstable and a stable solution. The dynamics hence goes through three regimes, as more clearly shown in (b). There, we show the difference $\delta$$\langle$$\mathcal{O}$$\rangle$(t) between $\langle$$\mathcal{O}$$\rangle$(t) and the equilibrium values $\mathcal{O}$(1.55/Tf) and $\mathcal{O}$(7/Tf) of the unstable and stable phases in solid and dashed black respectively. Both plots show time in units of the final temperature Tf . The system first equilibrates to the unstable phase, dominated by two QNMs of frequencies (ωX,ωΔ)/$π$T = (3.23 − 1.93$i$,−2.18$i$). After this, the unstable QNMs becomes dominant, and this mode grows exponentially with ω□/$π$T = 0.92$i$. Lastly, this mode leaves the linear regime, and the solution finally rings down to the stable solution with ωO/$π$T = 1.82 − 1.79$i$.« less
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