Compressible forced viscous fluid from product Einstein manifolds

Abstract

We consider the fluctuation modes around a hypersurface ${\Sigma }_c$ in a $(d+2)$-dimensional product Einstein manifold, with ${\Sigma }_c$ taken either near the horizon or at some finite cutoff from the horizon. By mapping the equations that governs the lowest nontrivial order of the fluctuation modes into a system of partial differential equations on a flat Newtonian spacetime, a system of compressible, forced viscous fluid is realized. This result generalizes the non bulk/boundary holographic duality constructed by us recently to the case of a different background geometry.

arXiv comment14 pages. V2: Misc corrections and a new reference

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• From Petrov-Einstein-Dilaton-Axion to Navier-Stokes equation in anisotropic model