Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT

By M. Haack, A. Yarom. 2008

153 citations recorded by the source corpus.

We compute coefficients of two-derivative terms in the hydrodynamic energy momentum tensor of a viscous fluid which has an AdSD dual with 3 ≤ D ≤ 7. For the case of D = 3 we obtain an exact AdS3 black hole solution, valid to all orders in a derivative expansion, dual to a perfect fluid in 1+1 dimensions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6270243bd3f4962d89638b8bbaf0da7c54fe2773

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Citations in the corpus

Universal hydrodynamics of non-conformal branes (2009, unknown): “14 87 v2 [ he p- th ] 1 7”
Fluid dynamics of R-charged black holes (2008, methodology): “ble integral in (45). Before considering the integral solutions for the scalar modes, k(n)(r), S(n)(r), c(n)(r) and h(n)(r), we recall that we have not completely ﬁxed our gauge for the metric. As in [18], we choose the gauge h(r) = 1 since it allows us to easily decouple k(n)(r), S(n)(r) and c(n)(r”
Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions (2008, background): “3.1 Equations of motion and uniform brane solutions 10 3.2 Slow variation and bulk tubes and our zero order ansatz 11 3.3 Perturbation theory at long wavelengths 14 3.4 Weyl Covariance 15”
The incompressible non-relativistic Navier-Stokes equation from gravity (2008, background): “straint as well as dynamical) to cubic order in ǫ. Adopting this deﬁnition, it is easy to read oﬀ the bulk metric dual to the Navier-Stokes equations from an appropriate scaling of the bulk metric of [9,10,13]. In derivative expansion only the zeroth order and the ﬁrst order gravity solution of [9,1”
Conformal hydrodynamics in Minkowski and de Sitter spacetimes (2010, background): “An extension of the solution (86) which includes second order corrections and a non vanishing chemical potential can be found in [16, 17, 13, 18].”
Weak Field Black Hole Formation in Asymptotically AdS Spacetimes (2009, methodology): “responding spacetime is locally (tube wise) well described by a black brane metric with a value of the temprature that varies with ~x(see (5.1) and the discusson arounf it in section 5). According to [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20], the subsequent evolution of”
A theory of first order dissipative superfluid dynamics (2011, methodology): “Our demonstration uses the technology of the so called fluid gravity correspondence [24, 25, 26, 27, 28, 21, 22, 29] but allows for the implementation of this map in an abstract manner that does not require us to know the explicit form”
The fluid/gravity correspondence: a new perspective on the membrane paradigm (2010, unknown): “As already indicated, one immediate set of generalizations involved relating a d-dimensional conformal fluid to an asymptotically AdSd+1 black hole (see [49] for the interesting case of d = 3 and [25, 48] for general d).”
A Holographic View on Physics out of Equilibrium (2010, background): “At higher orders we get more terms; a discussion of terms allowed at second order was first undertaken in [83] in four dimensions and higher dimensional conformal fluids were discussed in [144, 140] and a nice account of non-conformal fluids can be found in [145].”
Hydrodynamics from charged black branes (2008, background): “The authors of [1, 3–5, 8] noted that there exists a d parameter set of exact, asymptotically AdSd+1 black brane solutions of the gravity equations parameterized by temperature and velocity.”
Gravity and hydrodynamics: lectures on the fluid-gravity correspondence (2009, background): “The general analysis in AdSd+1 carried out in [68, 69] in fact allows us to write down the transport coefficients described above in arbitrary dimensions in nice closed form18.”