Fluid/Gravity Correspondence For General Non-rotating Black Holes

Abstract

In this paper, we investigate the fluid/gravity correspondence in spacetime with general non-rotating weakly isolated horizon. With the help of Petrov-like boundary condition and large mean curvature limit, we show that the dual hydrodynamical system is described by a generalized forced incompressible Navier-Stocks equation. Specially, for stationary black holes or those spacetime with some asymptotically stationary conditions, such a system reduces to a standard forced Navier-Stocks system.

21pages

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Cited by in corpus (20)

• BF Theory Explanation of the Entropy for Non-rotating Isolated Horizons
• The Petrov-like boundary condition at finite cutoff surface in Gravity/Fluid duality
• 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
• Duality family of scalar field
• Fluid/gravity correspondence for massive gravity
• The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum 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
• From Petrov-Einstein-Dilaton-Axion to Navier-Stokes equation in anisotropic model
• Gravity dual of Navier-Stokes equation in a rotating frame through parallel transport
• 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
• Geodesic dual spacetime
• Time evolving fluid from Vaidya spacetime
• A note on electrical and thermodynamic properties of Isolated Horizon