Near-Horizon Analysis of
arXiv:0911.0557 · doi:10.1016/j.nuclphysb.2010.12.001
Abstract
It is now well understood that the coefficient of shear viscosity of boundary fluid can be obtained from the horizon values of the effective coupling of transverse graviton in bulk spacetime. In this paper we observe that to find the shear viscosity coefficient it is sufficient to know only the near horizon geometry of the black hole spacetime. One does not need to know the full analytic solution. We consider several examples including non-trivial matter (dilaton, gauge fields) coupled to gravity in presence of higher derivative terms and calculate shear viscosity for both extremal and non-extremal black holes only studying the near horizon geometry. In particular, we consider higher derivative corrections to extremal R-charged black holes and compute in presence of three independent charges. We also consider asymptotically Lifshitz spacetime whose dual black hole geometry can not be found analytically. We study the near horizon behaviour of these black holes and find for its dual plasma at Lifshitz fixed point.
17 pages
References in corpus (21)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
- Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
- Non-relativistic holography
- Black holes in asymptotically Lifshitz spacetime
- Holographic Hydrodynamics with a Chemical Potential
- Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
- Shear Viscosity from Effective Couplings of Gravitons
- Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
- Entropy function and attractors for AdS black holes
- 1/N Effects in Non-Relativistic Gauge-Gravity Duality
- Shear viscosity and instability from third order Lovelock gravity
- Higher derivative effects on eta/s at finite chemical potential
- Transport coefficients, membrane couplings and universality at extremality
- On Euclidean and Noetherian Entropies in AdS Space
- Higher Derivative Corrections to Shear Viscosity from Graviton's Effective Coupling
- Shear Viscosity to Entropy Density Ratio in Six Derivative Gravity
- Holographic chiral shear waves from anomaly
- Viscosity to entropy ratio at extremality
- at finite coupling
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- The joy of factorization at large : five-dimensional indices and AdS black holes
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- Stationary rotating black holes in theories with gravitational Chern-Simons Lagrangian term
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