Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-14
JHEP 0904:024,2009
Physics
High Energy Physics
High Energy Physics - Theory
38 pages, 6 figures. v2: typos in eqns 2.14 and 2.20 corrected, improved section 8 and other minor changes
Scientific paper
10.1088/1126-6708/2009/04/024
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.
Caldarelli Marco M.
Dias Oscar J. C.
Emparan Roberto
Klemm Dietmar
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