Fluid/Gravity Correspondence with Scalar Field and Electromagnetic Field
arXiv:1601.01946
Abstract
We consider fluid/gravity correspondence in a general rotating black hole background with scalar and electromagnetic fields. Using the method of Petrov-like boundary condition, we show that the scalar and the electromagnetic fields contribute external forces to the dual Navier-Stokes equation and the rotation of black hole induces the Coriolis force.
22 pages, more discussion added, references corrected
References in corpus (9)
- Nonlinear Fluid Dynamics from Gravity
- Holographic model of superfluidity
- A holographic critical point
- The Incompressible Navier-Stokes Equations From Black Hole Membrane Dynamics
- Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations
- From Petrov-Einstein to Navier-Stokes
- Petrov type I Condition and Rindler Fluid in Vacuum Einstein-Gauss-Bonnet Gravity
- Fluctuations in horizon-fluid lead to negative bulk viscosity
- Fluids and vortex from constrained fluctuations around C-metric black hole