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The holographic fluid dual to vacuum Einstein gravity

The holographic fluid dual to vacuum Einstein gravity
The holographic fluid dual to vacuum Einstein gravity
We present an algorithm for systematically reconstructing a solution of the (d+ 2)-dimensional vacuum Einstein equations from a (d + 1)-dimensional fluid, extending the non-relativistic hydrodynamic expansion of Bredberg et al. in arXiv:1101.2451 to arbitrary order. The fluid satisfies equations of motion which are the incompressible Navier-Stokes equations, corrected by specific higher-derivative terms. The uniqueness and regularity of this solution is established to all orders and explicit results are given for the bulk metric and the stress tensor of the dual fluid through fifth order in the hydrodynamic expansion. We establish the validity of a relativistic hydrodynamic description for the dual fluid, which has the unusual property of having a vanishing equilibrium energy density. The gravitational results are used to identify transport coefficients of the dual fluid, which also obeys an interesting and exact constraint on its stress tensor. We propose novel Lagrangian models which realise key properties of the holographic fluid.
JHEP07(2011)050-[29pp]
Compère, Geoffrey
fb3e5779-5e31-4eee-9d8f-91fdb1c4bd5c
McFadden, Paul
4e7762ff-9b96-4516-b333-be01784fdbae
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Compère, Geoffrey
fb3e5779-5e31-4eee-9d8f-91fdb1c4bd5c
McFadden, Paul
4e7762ff-9b96-4516-b333-be01784fdbae
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22

Compère, Geoffrey, McFadden, Paul, Skenderis, Kostas and Taylor, Marika (2011) The holographic fluid dual to vacuum Einstein gravity. Journal of High Energy Physics, 2011 (7), JHEP07(2011)050-[29pp]. (doi:10.1007/JHEP07(2011)050).

Record type: Article

Abstract

We present an algorithm for systematically reconstructing a solution of the (d+ 2)-dimensional vacuum Einstein equations from a (d + 1)-dimensional fluid, extending the non-relativistic hydrodynamic expansion of Bredberg et al. in arXiv:1101.2451 to arbitrary order. The fluid satisfies equations of motion which are the incompressible Navier-Stokes equations, corrected by specific higher-derivative terms. The uniqueness and regularity of this solution is established to all orders and explicit results are given for the bulk metric and the stress tensor of the dual fluid through fifth order in the hydrodynamic expansion. We establish the validity of a relativistic hydrodynamic description for the dual fluid, which has the unusual property of having a vanishing equilibrium energy density. The gravitational results are used to identify transport coefficients of the dual fluid, which also obeys an interesting and exact constraint on its stress tensor. We propose novel Lagrangian models which realise key properties of the holographic fluid.

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More information

Published date: 11 July 2011
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 341277
URI: https://eprints.soton.ac.uk/id/eprint/341277
PURE UUID: e1f73175-93b9-4e03-bc4a-f62778803b70
ORCID for Kostas Skenderis: ORCID iD orcid.org/0000-0003-4509-5472

Catalogue record

Date deposited: 25 Jul 2012 11:42
Last modified: 28 Nov 2018 01:30

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