Holographic Heat Current as Noether Current
arXiv:1708.02329 · doi:10.1007/JHEP09(2017)146
Abstract
We employ the Noether procedure to derive a general formula for the radially conserved heat current in AdS planar black holes with certain transverse and traceless perturbations, for a general class of gravity theories. For Einstein gravity, the general higher-order Lovelock gravities and also a class of Horndeski gravities, we derive the boundary stress tensor and show that the resulting boundary heat current matches precisely the bulk Noether current.
Latex, 27 pages, typos corrected, comments added, references added
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