Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-17
JHEP 0806:055,2008
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 30 pages + 20 pages appendices. 3 eps figures. v2: typos corrected
Scientific paper
10.1088/1126-6708/2008/06/055
Spacetime geometries dual to arbitrary fluid flows in strongly coupled N=4 super Yang Mills theory have recently been constructed perturbatively in the long wavelength limit. We demonstrate that these geometries all have regular event horizons, and determine the location of the horizon order by order in a boundary derivative expansion. Intriguingly, the derivative expansion allows us to determine the location of the event horizon in the bulk as a local function of the fluid dynamical variables. We define a natural map from the boundary to the horizon using ingoing null geodesics. The area-form on spatial sections of the horizon can then be pulled back to the boundary to define a local entropy current for the dual field theory in the hydrodynamic limit. The area theorem of general relativity guarantees the positivity of the divergence of the entropy current thus constructed.
Bhattacharyya Sayantani
Hubeny Veronika E.
Loganayagam R.
Mandal Gautam
Minwalla Shiraz
No associations
LandOfFree
Local Fluid Dynamical Entropy from Gravity 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 Local Fluid Dynamical Entropy from Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local Fluid Dynamical Entropy from Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-637378