Fluid dynamics of R-charged black holes

By Johanna Erdmenger, M. Haack, M. Kaminski, A. Yarom. 2008

556 citations recorded by the source corpus.

We construct electrically charged AdS5 black hole solutions whose charge, mass and boost-parameters vary slowly with the space-time coordinates. From the perspective of the dual theory, these are equivalent to hydrodynamic configurations with varying chemical potential, temperature and velocity fields. We compute the boundary theory transport coefficients associated with a derivative expansion of the energy momentum tensor and R-charge current up to second order. In particular, for the current we find a first order transport coefficient associated with the vorticity of the fluid.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f23603586a6a39790f05cdf40e38836cadf99a73

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Citations in the corpus

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].”
Holographic gravitational anomaly and chiral vortical effect (2011, background): “Later studies showed that there is also a related vortical effect [7, 8], i.”
The fluid/gravity correspondence: a new perspective on the membrane paradigm (2010, unknown): “Early examples of such extensions include considering the dilaton (which corresponds to forcing of the fluid) in [50], Maxwell U(1) field [51, 52], multiple Maxwell fields and scalars, magnetic and dyonic charges, as well as more exotic models (see e.”
Adiabatic hydrodynamics: the eightfold way to dissipation (2015, background): “We note that [5, 6, 28, 88] have studied specific aspects of transport in this particular set-up up to second order in gradients, but the full set of constitutive relations require turning on all possible background sources has yet to be done.”
Holographic Quantum Matter (2016, background): “For original papers see [67; 91; 246], and for a review see [400].”
(Non)-renormalization of the chiral vortical effect coefficient (2012, background): “Since the original observations in gauge/gravity duality [1–3], it has been shown that the hydrodynamic equations of systems with anomalies necessarily contain additional terms if both the equations of anomalies and the second law of thermodynamics are to be preserved [4].”
Generalized holographic quantum criticality at finite density (2011, methodology): “The first result is valid for fluctuations of a U(1) Maxwell field around a neutral AdS(p+q+1) background, and one may check that it indeed coincides in five dimensions, p + q = 4, with the linear scaling of the DC conductivity with temperature obtained in various works using either correlator calcu”
Universal hydrodynamics of non-conformal branes (2009, unknown): “14 87 v2 [ he p- th ] 1 7”
Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions (2008, methodology): “etime with dilaton dynamics. However, in this paper, we will conﬁne ourselves to the case where the dilaton is set to its background value. On a related note , we should also mention two recent papers[12, 13] which appeared while this paper was nearing completion in which the ﬂuid gravity correspond”
Relativistic hydrodynamics with general anomalous charges (2010, background): “The appearance of the vorticity term ω in the anomalous hydrodynamic current has been first observed in the dual gravitational description of relativistic conformal hydrodynamics [3, 4].”