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SUMMARY:Fluid-Gravity Duality at a Cutoff Surface - Keeler \, C (Harvard U
 niversity)
DTSTART:20120301T140000Z
DTEND:20120301T150000Z
UID:TALK36695@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We show by explicit construction that for every solution of th
 e incompressible Navier-Stokes equation in $p+1$ dimensions\, there is a u
 niquely associated "dual" solution of the vacuum Einstein equations in $p+
 2$ dimensions. We consider both a "near-horizon" limit in which $Sigma_c$ 
 becomes highly accelerated\, and a long-wavelength hydrodynamic limit. We 
 show that the near-horizon expansion in gravity is mathematically equivale
 nt to the hydrodynamic expansion in fluid dynamics\, and the Einstein equa
 tion reduces to the incompressible Navier-Stokes equation.\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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