Spherically expanding matter in AdS/CFT correspondence

Kajantie, K.; Tahkokallio, T.

doi:10.1103/physrevd.75.066003

Cited by 23 publications

(33 citation statements)

References 22 publications

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“…A study of expanding systems in the gauge theory/gravity duality picture was initiated in [5,6,7] and continued in several further papers [8,9,10,11,12,13,14]. In [7] the starting point was to write a candidate five-dimensional gravity dual of the above collision process in the form…”

Section: Introductionmentioning

confidence: 99%

Gravity dual of1+1dimensional Bjorken expansion

2007

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We study the application of AdS/CFT duality to longitudinal boost invariant Bjorken expansion of QCD matter produced in ultrarelativistic heavy ion collisions. As the exact (1 + 4)-dimensional bulk solutions for the (1 + 3)-dimensional boundary theory are not known, we investigate in detail the (1 + 1)-dimensional boundary theory, where the bulk is AdS 3 gravity. We find an exact bulk solution, show that this solution describes part of the spinless Bañados-Teitelboim-Zanelli (BTZ) black hole with the angular dimension unwrapped, and use the thermodynamics of the BTZ hole to recover the time-dependent temperature and entropy density on the boundary. After separating from the holographic energy-momentum tensor a vacuum contribution, given by the extremal black hole limit in the bulk, we find that the boundary fluid is an ideal gas in local thermal equilibrium. Including angular momentum in the bulk gives a boundary flow that is boost invariant but has a nonzero longitudinal velocity with respect to the Bjorken expansion.

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Section: Introductionmentioning

confidence: 99%

Gravity dual of1+1dimensional Bjorken expansion

2007

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“…For further explorations of the spacetime geometry dual to Bjorken flow see[50,51,52,53,54,55,56,57,58,59] and[60] for a review. More recently, these class of geometries have been understood within the framework of the fluid-gravity correspondence in[61,62,63].…”

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confidence: 99%

Gravity and hydrodynamics: lectures on the fluid-gravity correspondence

Rangamani¹

2009

Class. Quantum Grav.

298

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We discuss recent developments in the hydrodynamic description of strongly coupled conformal field theories using the AdS/CFT correspondence. In particular, we review aspects of the fluid-gravity correspondence which provides a map between a class of inhomogeneous, dynamical, black hole solutions in asymptotically AdS spacetimes and arbitrary fluid flows in the strongly interacting boundary field theory. We explain how the geometric duals to the fluid dynamics are constructed in a boundary derivative expansion and use the construction to extract the hydrodynamic transport coefficients. In addition we also describe the recent developments extending the correspondence to incorporate matter fields and to non-relativistic systems. Based on lectures given at the CERN Winter School on Supergravity, Strings and Gauge Theories, Geneva, Switzerland (February 2009). * mukund.rangamani@durham.ac.uk 1 In fact there are several results in the literature exploring the phase structure [12,13,14] and stability [15,16] of black holes using the dual fluid dynamics in the context of field theories compactified on spatial circles with supersymmetry breaking boundary conditions. These boundary conditions break conformal invariance and the field theories are confining in the infra-red.2 For recent developments on lattice computations see [17] and references therein.

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“…The criterion of nonsingularity of the dual geometry was shown to predict almost perfect fluid hydrodynamic expansion [8] with leading deviations coming from shear viscosity [9] with the shear viscosity coefficient being exactly equal to the one derived in the static case in [4]. Further work in this framework include [10,11,12,13,14]. The aim of this paper is to investigate in more detail the hydrodynamic expansion and to determine the remaining parameter in second order viscous hydrodynamics [15,16] -the relaxation time τ Π .…”

Section: Introductionmentioning

confidence: 99%

Viscous hydrodynamics relaxation time from AdS/CFT correspondence

2007

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We consider an expanding boost-invariant plasma at strong coupling using the AdS/CFT correspondence for N = 4 SYM. We determine the relaxation time in second order viscous hydrodynamics and find that it is around thirty times shorter than weak coupling expectations. We find that the nonsingularity of the dual geometry in the string frame necessitates turning on the dilaton which leads to a nonvanishing expectation value for tr F 2 behaving like τ −10/3 .

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Spherically expanding matter in AdS/CFT correspondence

Cited by 23 publications

References 22 publications

Gravity dual of1+1dimensional Bjorken expansion

Gravity dual of1+1dimensional Bjorken expansion

Gravity and hydrodynamics: lectures on the fluid-gravity correspondence

Viscous hydrodynamics relaxation time from AdS/CFT correspondence

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