Global Scaling Symmetry, Noether Charge and Universality of Shear Viscosity
arXiv:1601.07875 · doi:10.1103/PhysRevD.93.106001
Abstract
Recently it was established in Einstein-Maxwell-Dilaton gravity that the KSS viscosity/entropy ratio associated with AdS planar black holes can be viewed as the boundary dual to the generalized Smarr relation of the black holes in the bulk. In this paper we establish this relation in Einstein gravity with general minimally-coupled matter, and also in theories with an additional non-minimally coupled scalar field. We consider two examples for explicit demonstrations.
16 pages, no figure
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