Gravity dual of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>dimensional Bjorken expansion

Kajantie, K.; Louko, Jorma; Tahkokallio, T.

doi:10.1103/physrevd.76.106006

Cited by 24 publications

(48 citation statements)

References 30 publications

(98 reference statements)

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“…It turns out that there are no non-zero Weyl-covariant quantities which can be formed out of velocity/temperature derivatives and hence, as noted by [41,7], the first order fluid dynamical metric becomes an exact solution of the bulk Einstein equations (see section 4 of [7] for more details). For all the reasons spelt out above, in the rest of our paper we will focus on d > 2.…”

Section: B D=2mentioning

confidence: 99%

Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions

Bhattacharyya

Loganayagam

Mandal

et al. 2008

J. High Energy Phys.

187

462

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We generalize recent work to construct a map from the conformal Navier Stokes equations with holographically determined transport coefficients, in d spacetime dimensions, to the set of asymptotically locally AdS d+1 long wavelength solutions of Einstein's equations with a negative cosmological constant, for all d > 2. We find simple explicit expressions for the stress tensor (slightly generalizing the recent result by Haack and Yarom (arXiv:0806.4602) ), the full dual bulk metric and an entropy current of this strongly coupled conformal fluid, to second order in the derivative expansion, for arbitrary d > 2. We also rewrite the well known exact solutions for rotating black holes in AdS d+1 space in a manifestly fluid dynamical form, generalizing earlier work in d = 4. To second order in the derivative expansion, this metric agrees with our general construction of the metric dual to fluid flows.

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Section: B D=2mentioning

confidence: 99%

Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions

Bhattacharyya

Loganayagam

Mandal

et al. 2008

J. High Energy Phys.

187

462

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“…For details we refer the reader to [2]. 4 The gravity dual to Bjorken flow in 1+1 dimensions was discussed in [27]. Note that there isn't a hydrodynamic limit in 1+1 dimensions for conformal fluids.…”

Section: )mentioning

confidence: 99%

Dynamical black holes and expanding plasmas

Figueras

Hubeny

Rangamani

et al. 2009

J. High Energy Phys.

134

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We analyse the global structure of time-dependent geometries dual to expanding plasmas, considering two examples: the boost invariant Bjorken flow, and the conformal soliton flow. While the geometry dual to the Bjorken flow is constructed in a perturbation expansion at late proper time, the conformal soliton flow has an exact dual (which corresponds to a Poincaré patch of Schwarzschild-AdS). In particular, we discuss the position and area of event and apparent horizons in the two geometries. The conformal soliton geometry offers a sharp distinction between event and apparent horizon; whereas the area of the event horizon diverges, that of the apparent horizon stays finite and constant. This suggests that the entropy of the corresponding CFT state is related to the apparent horizon rather than the event horizon.

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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.

305

404

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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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Gravity dual of1+1dimensional Bjorken expansion

Cited by 24 publications

References 30 publications

Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions

Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions

Dynamical black holes and expanding plasmas

Gravity and hydrodynamics: lectures on the fluid-gravity correspondence

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