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Non-equilibrium dynamics and AdS 4 Robinson-Trautman

Non-equilibrium dynamics and AdS 4 Robinson-Trautman
Non-equilibrium dynamics and AdS 4 Robinson-Trautman
The Robinson-Trautman space-times provide solutions of Einstein’s equations with negative cosmological constant, which settle to AdS 4 Schwarzschild black hole at late times. Via gauge/gravity duality they should describe a system out of equilibrium that evolves towards thermalization. We show that the area of the past apparent horizon of these space-times satisfies a generalized Penrose inequality and we formulate as well as provide evidence for a suitable generalization of Thorne’s hoop conjecture. We also compute the holographic energy-momentum tensor and deduce its late time behavior. It turns out that the complete non-equilibrium process on the boundary is governed by Calabi’s flow on S 2. Upon linearization, only special modes that arise as supersymmetric zero energy states of an associated supersymmetric quantum mechanics problem contribute to the solution. We find that each pole of radiation has an effective viscosity given by the eigenvalues of the Laplace operator on S 2 and there is an apparent violation of the KSS bound on η/s for the low lying harmonics of large AdS 4 black holes. These modes, however, do not satisfy Dirichlet boundary conditions, they are out-going and they do not appear to have a Kruskal extension across the future horizon H +.
1-46
Bakas, Ioannis
c657877a-0129-47e5-94d2-4fa95126bacb
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Bakas, Ioannis
c657877a-0129-47e5-94d2-4fa95126bacb
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09

Bakas, Ioannis and Skenderis, Kostas (2014) Non-equilibrium dynamics and AdS 4 Robinson-Trautman. Journal of High Energy Physics, 2014 (8), 1-46, [56]. (doi:10.1007/JHEP08(2014)056).

Record type: Article

Abstract

The Robinson-Trautman space-times provide solutions of Einstein’s equations with negative cosmological constant, which settle to AdS 4 Schwarzschild black hole at late times. Via gauge/gravity duality they should describe a system out of equilibrium that evolves towards thermalization. We show that the area of the past apparent horizon of these space-times satisfies a generalized Penrose inequality and we formulate as well as provide evidence for a suitable generalization of Thorne’s hoop conjecture. We also compute the holographic energy-momentum tensor and deduce its late time behavior. It turns out that the complete non-equilibrium process on the boundary is governed by Calabi’s flow on S 2. Upon linearization, only special modes that arise as supersymmetric zero energy states of an associated supersymmetric quantum mechanics problem contribute to the solution. We find that each pole of radiation has an effective viscosity given by the eigenvalues of the Laplace operator on S 2 and there is an apparent violation of the KSS bound on η/s for the low lying harmonics of large AdS 4 black holes. These modes, however, do not satisfy Dirichlet boundary conditions, they are out-going and they do not appear to have a Kruskal extension across the future horizon H +.

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More information

Accepted/In Press date: 25 July 2014
e-pub ahead of print date: 8 August 2014
Published date: 8 August 2014
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 391638
URI: http://eprints.soton.ac.uk/id/eprint/391638
PURE UUID: 3aa6294c-340f-43e8-80ad-5834f8fb98c6
ORCID for Kostas Skenderis: ORCID iD orcid.org/0000-0003-4509-5472

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Date deposited: 13 Apr 2016 11:08
Last modified: 21 Nov 2021 03:06

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Author: Ioannis Bakas

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