Holographic Heat Current as Noether Current
High Energy Physics - Theory
2017-10-25 v2 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1708.02329,
title = {Holographic Heat Current as Noether Current},
author = {Hai-Shan Liu and H. Lu and C. N. Pope},
journal= {arXiv preprint arXiv:1708.02329},
year = {2017}
}
Comments
Latex, 27 pages, typos corrected, comments added, references added