Magnetohydrodynamics from gravity
arXiv:1204.0959 · doi:10.1103/PhysRevD.86.084043
Abstract
Imposing the Petrov-like boundary condition on the hypersurface at finite cutoff, we derive the hydrodynamic equation on the hypersurface from the bulk Einstein equation with electromagnetic field in the near horizon limit. We first get the general framework for spacetime with matter field, and then derive the incompressible Navier-Stokes equations for black holes with electric charge and magnetic charge respectively. Especially, in the magnetic case, the standard magnetohydrodynamic equations will arise due to the existence of the background electromagnetic field on the hypersurface.
21 pages
References in corpus (28)
- Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
- Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
- Lecture Notes on Holographic Renormalization
- 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
- Hydrodynamics from charged black branes
- Local Fluid Dynamical Entropy from Gravity
- 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
- The Incompressible Navier-Stokes Equations From Black Hole Membrane Dynamics
- Dyonic AdS black holes from magnetohydrodynamics
- Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface
- The Relativistic Rindler Hydrodynamics
- The relativistic fluid dual to vacuum Einstein gravity
- 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
- 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
- On Gravitational anomaly and Hawking radiation near weakly isolated horizon
Cited by in corpus (24)
- Towards a general fluid/gravity correspondence
- Holographic charged fluid dual to third order Lovelock gravity
- Fluid/gravity duality with Petrov-like boundary condition in a spacetime with a cosmological constant
- Fluid/Gravity Correspondence For General Non-rotating Black Holes
- The Petrov-like boundary condition at finite cutoff surface in Gravity/Fluid duality
- Petrov type I Condition and Dual Fluid Dynamics
- Gravity-mediated holography in fluid dynamics
- Petrov type I Spacetime and Dual Relativistic Fluids
- Petrov type I Condition and Rindler Fluid in Vacuum Einstein-Gauss-Bonnet Gravity
- The effects of massive graviton on the equilibrium between the black hole and radiation gas in an isolated box
- Fluid/gravity correspondence for massive gravity
- Bulk Viscosity of dual Fluid at Finite Cutoff Surface via Gravity/Fluid correspondence in Einstein-Maxwell Gravity
- Holographic fluid from nonminimally coupled scalar-tensor theory of gravity
- On the Magnetohydrodynamics/Gravity Correspondence
- Effective metric in fluid-gravity duality through parallel transport: a proposal
- Holographic parity violating charged fluid dual to Chern-Simons modified gravity
- 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
- Composite-particle hydrodynamics from dyonic black branes
- Compressible forced viscous fluid from product Einstein manifolds
- Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence
- Fluids and vortex from constrained fluctuations around C-metric black hole
- Time evolving fluid from Vaidya spacetime
- Sonic velocity in holographic fluids and its applications