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A non-perturbative second law of black hole mechanics in effective field theory

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arxiv 2312.07659 v2 pith:DGNELYHY submitted 2023-12-12 hep-th gr-qc

Iain Davies , Harvey S. Reall This is my paper · ORCID
classification hep-thgr-qc
keywords entropyblackholederivativeseffectivefieldmechanicsnon-perturbative
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We describe a method for defining dynamical black hole entropy in gravitational effective field theories (EFTs). The entropy is constructed order by order in derivatives. For any fixed number of derivatives, the entropy satisfies a non-perturbative second law of black hole mechanics if the black hole remains within the regime of validity of EFT. In equilibrium the entropy reduces to the Wald entropy. It reduces to the entropy defined by Hollands et al in theories of vacuum gravity with up to 10 derivatives.

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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. Zeroth law of black hole thermodynamics for higher derivative Proca theories

    hep-th 2025-09 conditional novelty 6.0 of 10

    The zeroth law of black hole thermodynamics holds to all perturbative orders for higher curvature Einstein-Proca effective field theories.

  2. 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...

  3. Dynamical Entropy Is a Noether Charge

    hep-th 2026-07 reject novelty 5.0 of 10

    A Noether-charge derivation of the known HWZ dynamical entropy for generic null surfaces, whose local second-law proof is invalid as printed because Eq. (19) has the wrong sign in K.

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