Dual Fluid for the Kerr Black Hole

Abstract

Rotating black holes are algebraically special solutions to the vacuum Einstein equation. Using properties of the algebraically special solutions we construct the dual fluid, which flows on black hole horizon. An explicit form of the Kerr solution allows us to write an explicit dual fluid solution and investigate its stability using energy balance equation. We show that the dual fluid is stable because of high algebraic speciality of the Kerr solution.

21 pages

References in corpus (8)

• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Viscosity, Black Holes, and Quantum Field Theory
• Classification of the Weyl Tensor in Higher Dimensions and Applications
• The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity
• Large rotating AdS black holes from fluid mechanics
• From Petrov-Einstein to Navier-Stokes
• Rotating Black Holes and Coriolis Effect

Cited by in corpus (6)

• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Fluid-gravity correspondence in the scalar-tensor theory of gravity: (in)equivalence of Einstein and Jordan frames
• 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
• Gravity dual of Navier-Stokes equation in a rotating frame through parallel transport
• A hydrodynamical description of gravitational waves