Eling-Oz Formula for Exotic Hairy Black Holes
arXiv:1107.2385 · doi:10.1016/j.physletb.2012.01.040
Abstract
We checked Eling-Oz formula [1] for the bulk viscosity of the holographic fluid dual to the exotic black holes [2]. Initially, Eling and Oz argued that the formula is valid in the high temperature and adiabatic limits. In [3] the validity of the formula for $\caln=2^*$ plasma and cascading gauge theory was pushed forward for arbitrary temperatures. We successfully verified the formula with the computations of the bulk viscosity [4,5] for a wide range of the temperatures. Moreover, it correctly reproduces the critical behavior in the vicinity of the critical point, where the bulk-to-shear viscosity diverges.
9 pages, 4 figures, references added and corrected, minor clarifications added, accepted by Phys. Lett. B
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