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Holographic Heat Current as Noether Current

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arxiv 1708.02329 v2 pith:WR6COBW6 submitted 2017-08-07 hep-th gr-qc

classification hep-thgr-qc
keywords currentgeneralheatnoetherboundaryclassderivegravities
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Timelike Entanglement First Law and Linearized Field Equations in Higher Curvature Gravity

    hep-th 2026-07 unverdicted novelty 6.0 of 10

    Timelike entanglement first law holds in Lovelock gravity about AdS, with both entropy and modular Hamiltonian variations carrying the same coupling factor that renormalizes Newton's constant in the linearized equations.

  2. Phase transition of hot dense QCD Matter from a refined holographic EMD model

    hep-ph 2025-07 conditional novelty 4.0 of 10

    A holographic EMD model calibrated to lattice QCD predicts a kappa sigma squared peak at 3 to 5 GeV in heavy-ion collisions, provided the chemical freeze-out curve avoids the first-order transition line.

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