Magnetohydrodynamics from gravity

Details Magnetohydrodynamics from gravity Magnetohydrodynamics from gravity

2012-04-04

arxiv.org/abs/1204.0959v2

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

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.

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