Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-22
Phys.Lett.B680:496-499,2009
Physics
High Energy Physics
High Energy Physics - Theory
5 pages; v2: expanded discussion to clarify a few points, title slightly changed
Scientific paper
10.1016/j.physletb.2009.09.028
We consider the dynamics of a d+1 space-time dimensional membrane defined by the event horizon of a black brane in (d+2)-dimensional asymptotically Anti-de-Sitter space-time and show that it is described by the d-dimensional incompressible Navier-Stokes equations of non-relativistic fluids. The fluid velocity corresponds to the normal to the horizon while the rate of change in the fluid energy is equal to minus the rate of change in the horizon cross-sectional area. The analysis is performed in the Membrane Paradigm approach to black holes and it holds for a general non-singular null hypersurface, provided a large scale hydrodynamic limit exists. Thus we find, for instance, that the dynamics of the Rindler acceleration horizon is also described by the incompressible Navier-Stokes equations. The result resembles the relation between the Burgers and KPZ equations and we discuss its implications.
Eling Christopher
Fouxon Itzhak
Oz Yaron
No associations
LandOfFree
The Incompressible Navier-Stokes Equations From Black Hole Membrane Dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Incompressible Navier-Stokes Equations From Black Hole Membrane Dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Incompressible Navier-Stokes Equations From Black Hole Membrane Dynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-325336