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 Poincar\'e patch-like coordinates with planar boundaries. We demonstrate the application of this procedure using numerical examples.
hep-th, gr-qc
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
5 October 2017
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Skenderis, Kostas 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": Workshop on Geometry and Physics, Ringberg Castle, 20-25 November 2016, invited contributions.
vol. 292,
Sissa Medialab.
18 pp
.
(doi:10.22323/1.292.0097).
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 Poincar\'e 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
e-pub ahead of print date: 4 October 2017
Published date: 5 October 2017
Additional Information:
Proceedings prepared for the "Workshop on Geometry and Physics" in memoriam of Ioannis Bakas, November 2016, Ringberg Castle, Germany. v2: Minor changes, added discussion of isotropisation time.
Copyright owned by the author(s).
Venue - Dates:
Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity", 2016-08-31 - 2016-09-23
Keywords:
hep-th, gr-qc
Identifiers
Local EPrints ID: 428895
URI: http://eprints.soton.ac.uk/id/eprint/428895
ISSN: 1824-8039
PURE UUID: e823b6b3-ef8b-467f-8d49-9add0f73663e
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Date deposited: 13 Mar 2019 19:23
Last modified: 16 Mar 2024 04:09
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