The Petrov-like boundary condition at finite cutoff surface in Gravity/Fluid duality
arXiv:1306.5633 · doi:10.1103/PhysRevD.90.043525
Abstract
Previously it has been shown that imposing a Petrov-like boundary condition on a hypersurface may reduce the Einstein equation to the incompressible Navier-Stokes equation, but all these correspondences are established in the near horizon limit. In this note, we remark that this strategy can be extended to an arbitrary finite cutoff surface which is spatially flat, and the Navier-Stokes equation is obtained by employing a non-relativistic long-wavelength limit.
arXiv comment17 pages, no figures, published in PRD
References in corpus (38)
- Thermodynamics of Spacetime: The Einstein Equation of State
- Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
- Nonlinear Fluid Dynamics from Gravity
- From AdS/CFT correspondence to hydrodynamics
- Holography and hydrodynamics: diffusion on stretched horizons
- Universality of the shear viscosity in supergravity
- Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
- Holographic and Wilsonian Renormalization Groups
- Hydrodynamics from charged black branes
- Local Fluid Dynamical Entropy from Gravity
- The anisotropic N=4 super Yang-Mills plasma and its instabilities
- From Navier-Stokes To Einstein
- Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
- Wilsonian Approach to Fluid/Gravity Duality
- The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity
- Forced Fluid Dynamics from Gravity
- Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm
- Entropy density of spacetime and the Navier-Stokes fluid dynamics of null surfaces
- The holographic fluid dual to vacuum Einstein gravity
- The Incompressible Navier-Stokes Equations From Black Hole Membrane Dynamics
- Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface
- Dyonic AdS black holes from magnetohydrodynamics
- The Relativistic Rindler Hydrodynamics
- The relativistic fluid dual to vacuum Einstein gravity
- Yet Another Realization of Kerr/CFT Correspondence
- From Petrov-Einstein to Navier-Stokes in Spatially Curved Spacetime
- Incompressible Navier-Stokes Equation from Einstein-Maxwell and Gauss-Bonnet-Maxwell Theories
- From Petrov-Einstein to Navier-Stokes
- Holographic Forced Fluid Dynamics in Non-relativistic Limit
- Nonlinear Magnetohydrodynamics from Gravity
- Magnetohydrodynamics from gravity
- Fluid/gravity duality with Petrov-like boundary condition in a spacetime with a cosmological constant
- Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity
- Fluid/Gravity Correspondence For General Non-rotating Black Holes
- Gravity-mediated holography in fluid dynamics
- Petrov type I Condition and Dual Fluid Dynamics
- Poor man's holography: How far can it go?
- Holographic parity violating charged fluid dual to Chern-Simons modified gravity
Cited by in corpus (14)
- Towards a general fluid/gravity correspondence
- Petrov type I Condition and Dual Fluid Dynamics
- Petrov type I Spacetime and Dual Relativistic Fluids
- Fluid-gravity correspondence in the scalar-tensor theory of gravity: (in)equivalence of Einstein and Jordan frames
- Petrov type I Condition and Rindler Fluid in Vacuum Einstein-Gauss-Bonnet Gravity
- Fluid/gravity correspondence for massive gravity
- Holographic fluid from nonminimally coupled scalar-tensor theory of gravity
- Effective metric in fluid-gravity duality through parallel transport: a proposal
- From Petrov-Einstein-Dilaton-Axion to Navier-Stokes equation in anisotropic model
- Fluid description of gravity on a timelike cut-off surface: beyond Navier-Stokes equation
- Gravity dual of Navier-Stokes equation in a rotating frame through parallel transport
- Compressible forced viscous fluid from product Einstein manifolds
- Fluids and vortex from constrained fluctuations around C-metric black hole
- Time evolving fluid from Vaidya spacetime