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arXiv · 1708.02329

Holographic Heat Current as Noether Current

Hai-Shan Liu·H. Lu·C. N. Pope
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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.

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Hai-Shan Liu, H. Lu, C. N. Pope. 2017-09-10. Holographic Heat Current as Noether Current. https://doi.org/10.1007/jhep09(2017)146

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