Gravity-mediated holography in fluid dynamics

Abstract

For any spherically symmetric black hole spacetime with an ideal fluid source, we establish a dual fluid system on a hypersurface near the black hole horizon. The dual fluid is incompressible and obeys Navier-Stokes equation subject to some external force. The force term in the fluid equation consists in two parts, one comes from the curvature of the hypersurface, the other comes from the stress-energy of the bulk fluid.

12 pages. v2: various corrections. v3: Minor corrections, version to appear in Nucl. Phys. B

References in corpus (7)

• The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity
• Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface
• From Petrov-Einstein to Navier-Stokes
• Magnetohydrodynamics from gravity
• Holographic charged fluid dual to third order Lovelock gravity
• Fluid/Gravity Correspondence For General Non-rotating Black Holes
• Higher Curvature Gravity and the Holographic fluid dual to flat spacetime

Cited by in corpus (12)

• The Petrov-like boundary condition at finite cutoff surface in Gravity/Fluid duality
• Petrov type I Spacetime and Dual Relativistic Fluids
• 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
• Holographic parity violating charged fluid dual to Chern-Simons modified gravity
• From Petrov-Einstein-Dilaton-Axion to Navier-Stokes equation in anisotropic model
• New class of rotating perfect fluid black holes in three dimensional gravity
• Flat space compressible fluid as holographic dual of black hole with curved horizon
• 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