Bredberg, IreneStrominger, Andrew2014-03-052012Bredberg, Irene, and Andrew Strominger. 2012. Black holes as incompressible fluids on the sphere. Journal of High Energy Physics 2012(5):43.1029-8479http://nrs.harvard.edu/urn-3:HUL.InstRepos:11859324We consider finite deformations of the p + 2-dimensional Schwarzschild geometry which obey the vacuum Einstein equation, preserve the mean curvature and induced conformal metric on a sphere a distance λ from the horizon and are regular on the future horizon. We show perturbatively that in the limit λ → 0 the deformations are given by solutions of the nonlinear incompressible Navier-Stokes equation on the p-sphere. This relation provides a link between global existence for p-dimensional incompressible Navier-Stokes fluids and a novel form of cosmic censorship in p + 2-dimensional general relativity.en-USGauge-gravity correspondenceClassical Theories of GravityBlack Holes in String TheoryJournal Article2013-07-08Bredberg,Irene and Strominger, Andrew2014-03-0510.1007/JHEP05(2012)043