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Linearised Second Law for Higher Curvature Gravity and Non-Minimally Coupled Vector Fields

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arxiv 2402.05411 v2 pith:SN2YNLWB submitted 2024-02-08 gr-qc hep-th

Aron C. Wall , Zihan Yan This is my paper · ORCID
classification gr-qchep-th
keywords vectorfieldscoupledcurvaturegravitycovariantderivativeentropy
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Expanding the work of arXiv:1504.08040, we show that black holes obey a second law for linear perturbations to bifurcate Killing horizons, in any covariant higher curvature gravity coupled to scalar and vector fields. The vector fields do not need to be gauged, and (like the scalars) can have arbitrary non-minimal couplings to the metric. The increasing entropy has a natural expression in covariant phase space language, which makes it manifestly invariant under JKM ambiguities. An explicit entropy formula is given for f(Riemann) gravity coupled to vectors, where at most one derivative acts on each vector. Besides the previously known curvature terms, there are three extra terms involving differentiating the Lagrangian by the symmetric vector derivative (which therefore vanish for gauge fields).

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Cited by 6 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.

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    hep-th 2025-09 conditional novelty 6.0 of 10

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  3. 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 ...

  4. 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...

  5. GGI lectures on boundary and asymptotic symmetries

    hep-th 2025-12 conditional novelty 4.0 of 10

    A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...

  6. Generalised focusing theorem and dynamical horizon entropy in diffeomorphism-invariant theories

    gr-qc 2025-08 unverdicted novelty 2.0 of 10

    A conference summary presenting the generalized focusing theorem and Wall entropy for diffeomorphism-invariant gravity theories, with a proposed condition for higher-spin fields.

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