Higher Curvature Gravity and the Holographic fluid dual to flat spacetime

Abstract

Recent works have demonstrated that one can construct a (d+2) dimensional solution of the vacuum Einstein equations that is dual to a (d+1) dimensional fluid satisfying the incompressible Navier-Stokes equations. In one important example, the fluid lives on a fixed timelike surface in the flat Rindler spacetime associated with an accelerated observer. In this paper, we show that the shear viscosity to entropy density ratio of the fluid takes the universal value 1/4πin a wide class of higher curvature generalizations to Einstein gravity. Unlike the fluid dual to asymptotically anti-de Sitter spacetimes, here the choice of gravitational dynamics only affects the second order transport coefficients. We explicitly calculate these in five-dimensional Einstein-Gauss-Bonnet gravity and discuss the implications of our results.

arXiv comment13 pages; v2: modified abstract, added references; v3: added clarifying comments, modified discussion

References in corpus (15)

• Thermodynamics of Spacetime: The Einstein Equation of State
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Nonlinear Fluid Dynamics from Gravity
• Universality of the shear viscosity in supergravity
• Non-equilibrium Thermodynamics of Spacetime
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Wilsonian Approach to Fluid/Gravity Duality
• The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity
• The holographic fluid dual to vacuum Einstein gravity
• The Incompressible Navier-Stokes Equations From Black Hole Membrane Dynamics
• Metrics With Vanishing Quantum Corrections
• Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations
• Hydrodynamics of spacetime and vacuum viscosity
• Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface
• Relativistic CFT Hydrodynamics from the Membrane Paradigm

Cited by in corpus (22)

• The Relativistic Rindler Hydrodynamics
• The relativistic fluid dual to vacuum Einstein gravity
• Towards a general fluid/gravity correspondence
• Holographic Forced Fluid Dynamics in Non-relativistic Limit
• Holographic Screens and Transport Coefficients in the Fluid/Gravity Correspondence
• Holographic charged fluid dual to third order Lovelock gravity
• Local Entropy Current in Higher Curvature Gravity and Rindler Hydrodynamics
• Clausius entropy for arbitrary bifurcate null surfaces
• Petrov type I Condition and Dual Fluid Dynamics
• Gravity-mediated holography in fluid dynamics
• Fluid-gravity correspondence in the scalar-tensor theory of gravity: (in)equivalence of Einstein and Jordan frames
• Petrov type I Spacetime and Dual Relativistic Fluids
• Petrov type I Condition and Rindler Fluid in Vacuum Einstein-Gauss-Bonnet Gravity
• Holographic fluid from nonminimally coupled scalar-tensor theory of gravity
• Effective metric in fluid-gravity duality through parallel transport: a proposal
• Fluid description of gravity on a timelike cut-off surface: beyond Navier-Stokes equation
• Statistical modeling of the fluid dual to Boulware-Deser Black hole
• Black hole thermodynamics as seen through a microscopic model of a relativistic Bose gas
• Flat space compressible fluid as holographic dual of black hole with curved horizon
• Gravity dual of Navier-Stokes equation in a rotating frame through parallel transport
• Rindler Fluid with Weak Momentum Relaxation
• Shear viscosity to entropy density ratio: A powerful tool for gravity theories and strongly coupled fluids