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Black Hole Zeroth Law in Higher Curvature Gravity

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arxiv 2009.01543 v1 pith:AFM3G3RB submitted 2020-09-03 gr-qc hep-th

classification gr-qchep-th
keywords gravityzerothblackholesurfaceconstancycurvaturehigher
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The zeroth law of black hole mechanics is an assertion of constancy of the surface gravity on a stationary Killing horizon. The Hawking temperature of the black hole horizon is proportional to the surface gravity. Therefore, the constancy of the surface gravity is reminiscent of the zeroth law of ordinary thermodynamics. In this work, we provide a proof of the zeroth law in Lanczos-Lovelock theories of gravity, where the Einstein Hilbert action is supplemented by higher curvature terms.

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Cited by 3 Pith papers

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

  1. Gravitational focusing and horizon entropy for higher-spin fields

    gr-qc 2024-12 conditional novelty 7.0 of 10

    Higher-spin fields introduce indefinite terms into the generalized Raychaudhuri equation on Killing horizons, blocking a focusing theorem and a well-defined Wall entropy unless a proposed focusing condition is imposed.

  2. Gravitational Effective Field Theories and Black Hole Mechanics

    gr-qc 2024-11 conditional novelty 6.0 of 10

    In effective field theories of gravity with electromagnetism and scalars, surface gravity and electric potential are constant on black hole horizons up to the accuracy of the EFT, and a modified entropy satisfies the ...

  3. A comparison of two constructions for dynamical corrections to Wald entropy

    hep-th 2026-07 conditional novelty 5.0 of 10

    For small perturbations, the dynamical entropy S_dyn and Wall's entropy S_Wall satisfy S_dyn = (1-v∂_v)S_Wall, and this paper gives a local algorithm that reconstructs S_Wall from S_dyn once a bifurcation-surface cond...

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