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Local fluid dynamical entropy from gravity
2008
Journal of High Energy Physics
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.
doi:10.1088/1126-6708/2008/06/055
fatcat:esgstyj6njhfrly4onuq63pbui