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Robinson-Trautman spacetimes and gauge/gravity duality

Robinson-Trautman spacetimes and gauge/gravity duality
Robinson-Trautman spacetimes and gauge/gravity duality
We study far-from-equilibrium field theory dynamics using gauge/gravity duality applied to the Robinson-Trautman (RT) class of spacetimes and we present a number of new results. First, we assess the applicability of the hydrodynamic approximation to inhomogeneous plasma dynamics dual to RT spacetimes. We prove that to any order in a late time expansion it is possible to identify variables corresponding to the local energy density and fluid velocity. However, we show using numerical examples that this does not hold at the non-perturbative level; for sufficiently inhomogeneous initial data a local rest frame does not exist. Second, we preset a new class of holographic inhomogeneous plasma flows on the plane. The corresponding spacetimes are not of the RT type but they can be obtained from RT spacetimes with spatially compact boundaries by coordinate transformations which generate Poincare patch-like coordinates with planar boundaries. We demonstrate the application of this procedure using numerical examples.
Proceedings of Science
Skenderis, Konstantinos
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Skenderis, Konstantinos
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9

Skenderis, Konstantinos and Withers, Benjamin (2017) Robinson-Trautman spacetimes and gauge/gravity duality. In Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity". Proceedings of Science..

Record type: Conference or Workshop Item (Paper)

Abstract

We study far-from-equilibrium field theory dynamics using gauge/gravity duality applied to the Robinson-Trautman (RT) class of spacetimes and we present a number of new results. First, we assess the applicability of the hydrodynamic approximation to inhomogeneous plasma dynamics dual to RT spacetimes. We prove that to any order in a late time expansion it is possible to identify variables corresponding to the local energy density and fluid velocity. However, we show using numerical examples that this does not hold at the non-perturbative level; for sufficiently inhomogeneous initial data a local rest frame does not exist. Second, we preset a new class of holographic inhomogeneous plasma flows on the plane. The corresponding spacetimes are not of the RT type but they can be obtained from RT spacetimes with spatially compact boundaries by coordinate transformations which generate Poincare patch-like coordinates with planar boundaries. We demonstrate the application of this procedure using numerical examples.

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Accepted/In Press date: 20 September 2017
Published date: 2017

Identifiers

Local EPrints ID: 428895
URI: http://eprints.soton.ac.uk/id/eprint/428895
PURE UUID: e823b6b3-ef8b-467f-8d49-9add0f73663e
ORCID for Konstantinos Skenderis: ORCID iD orcid.org/0000-0003-4509-5472

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Date deposited: 13 Mar 2019 19:23
Last modified: 22 Nov 2021 03:02

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