Black Holes as Lumps of Fluid
arXiv:0811.2381 · doi:10.1088/1126-6708/2009/04/024
Abstract
The old suggestive observation that black holes often resemble lumps of fluid has recently been taken beyond the level of an analogy to a precise duality. We investigate aspects of this duality, and in particular clarify the relation between area minimization of the fluid vs. area maximization of the black hole horizon, and the connection between surface tension and curvature of the fluid, and surface gravity of the black hole. We also argue that the Rayleigh-Plateau instability in a fluid tube is the holographic dual of the Gregory-Laflamme instability of a black string. Associated with this fluid instability there is a rich variety of phases of fluid solutions that we study in detail, including in particular the effects of rotation. We compare them against the known results for asymptotically flat black holes finding remarkable agreement. Furthermore, we use our fluid results to discuss the unknown features of the gravitational system. Finally, we make some observations that suggest that asymptotically flat black holes may admit a fluid description in the limit of large number of dimensions.
38 pages, 6 figures. v2: typos in eqns 2.14 and 2.20 corrected, improved section 8 and other minor changes
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Cited by in corpus (6)
- Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
- Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
- Ultraspinning instability of rotating black holes
- Bifurcation of Plasma Balls and Black Holes to Lobed Configurations
- Black hole-black string phase transitions from hydrodynamics
- One-Dimensional Approximation of Viscous Flows