Compressible forced viscous fluid from product Einstein manifolds

Abstract

We consider the fluctuation modes around a hypersurface [Formula: see text] in a [Formula: see text]-dimensional product Einstein manifold, with [Formula: see text] taken either near the horizon or at some finite cutoff from the horizon. By mapping the equations that govern 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 nonbulk/boundary holographic duality constructed by us recently to the case of a different background geometry.