Publication: Black holes as incompressible fluids on the sphere
Date
2012
Authors
Published Version
Journal Title
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Publisher
Springer-Verlag
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Citation
Bredberg, Irene, and Andrew Strominger. 2012. Black holes as incompressible fluids on the sphere. Journal of High Energy Physics 2012(5):43.
Research Data
Abstract
We 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.
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Keywords
Gauge-gravity correspondence, Classical Theories of Gravity, Black Holes in String Theory
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