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.

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

References in corpus (8)

• Nonlinear Fluid Dynamics from Gravity
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• The Incompressible Non-Relativistic Navier-Stokes Equation from 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

Cited by in corpus (4)

• Holographic charged fluid dual to third order Lovelock gravity
• Petrov type I Condition and Rindler Fluid in Vacuum Einstein-Gauss-Bonnet Gravity
• Effective metric in fluid-gravity duality through parallel transport: a proposal
• Flat space compressible fluid as holographic dual of black hole with curved horizon