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arXiv · 1412.8144

Flat space compressible fluid as holographic dual of black hole with curved horizon

Xin Hao·Bin Wu·Liu Zhao
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Abstract

We consider the fluid dual of $(d+2)$-dimensional vacuum Einstein equation either with or without a cosmological constant. The background solutions admit black hole event horizons and the spatial sections of the horizons are conformally flat. Therefore, a $d$-dimensional flat Euclidean space $\mathbb{E}^d$ is contained in the conformal class of the spatial section of the black hole horizon. A compressible, forced, stationary and viscous fluid system can be constructed on the product (Newtonian) spacetime $\mathbb{R}\times\mathbb{E}^d$ as the lowest order fluctuation modes around such black hole background. This construction provides the first example of holographic duality which is beyond the class of bulk/boundary correspondence.

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Xin Hao, Bin Wu, Liu Zhao. 2015-01-29. Flat space compressible fluid as holographic dual of black hole with curved horizon. https://doi.org/10.1007/jhep02(2015)030

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