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Eling–Oz formula for exotic hairy black holes

2011/07/31 by Alexander Patrushev
Physics and Astronomy · #Adiabatic process #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Mathematical physics #Physics #Quantum Electrodynamics and Casimir Effect #Theoretical physics #Thermodynamics #Viscosity #hep-th

paper · pdf · doi:10.1016/j.physletb.2012.01.040

published as Physics Letters B 708 (2012) 199 · 9 pages, 4 figures, references added and corrected, minor clarifications added, accepted by Phys. Lett. B

arxiv created 2012/01/13 · openalex publication_date 2012/01/17 · arxiv updated 2012/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We checked Eling–Oz formula (Eling and Oz, 2011, [1]) for the bulk viscosity of the holographic fluid dual to the exotic black holes (Buchel and Pagnutti, 2010, [2]). Initially, Eling and Oz argued that the formula is valid in the high temperature and adiabatic limits. In Buchel (2011) [3] the validity of the formula for N=2⁎ plasma and cascading gauge theory was pushed forward for arbitrary temperatures. We successfully verified the formula with the computations of the bulk viscosity (Buchel and Pagnutti, 2010, 2011, [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.

Citations