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arXiv · 1501.05146

Compressible forced viscous fluid from product Einstein manifolds

Xin Hao·Bin Wu·Liu Zhao
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Abstract

We consider the fluctuation modes around a hypersurface $Σ_c$ in a $(d+2)$-dimensional product Einstein manifold, with $Σ_c$ 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.

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Xin Hao, Bin Wu, Liu Zhao. 2015-01-29. Compressible forced viscous fluid from product Einstein manifolds. https://arxiv.org/abs/1501.05146

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