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Higher derivative corrections to Kerr black hole thermodynamics

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arxiv 1901.11535 v3 pith:Z7CGBOBN submitted 2019-01-31 hep-th

classification hep-th
keywords derivativetermsactioncorrectioncorrectionseightfieldhigher
verification ladder T0 review T1 audit T2 compute T3 formal
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In an effective field theory approach to gravity, the Einstein-Hilbert action is supplemented by higher derivative terms. In the absence of matter, four derivative terms can be eliminated by a field redefinition. We use the Euclidean action to calculate analytically the corrections to thermodynamic quantities of the Kerr solution arising from terms with six or eight derivatives. The eight derivative terms make a non-negative correction to the entropy (at fixed mass and angular momentum) if their coefficients have appropriate signs. The correction from the six derivative terms does not have a definite sign.

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Cited by 4 Pith papers

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

  1. Stochastic Evolution of Primordial Black Holes to near-extremality in EFTs of Gravity

    gr-qc 2026-02 conditional novelty 5.0 of 10

    In EFT-modified gravity, about the same fraction of primordial black holes (24.6–24.9%) spin up to near-extremality as in GR (~24.7%), and those survivors carry ~10x enhanced near-horizon tidal forces.

  2. Extremalization approach to black hole thermodynamics: perturbations around higher-derivative gravities

    gr-qc 2026-01 unverdicted novelty 5.0 of 10

    The Reall–Santos extremalization method is extended to perturbations around Einstein–Gauss–Bonnet backgrounds, reproducing known quasi-topological black-hole thermodynamics without solving the perturbed metric.

  3. Multinomial probit model based on joint quantile regression

    stat.ME 2025-08 unverdicted novelty 4.0 of 10

    The abstract proposes a Bayesian joint quantile regression version of the multinomial probit model for choice data, estimable by Gibbs sampling, but the attached full text is a different paper on higher-derivative gravity.

  4. Thermodynamic relation on rotating charged black strings with arbitrary cosmological constant

    hep-th 2025-07 conditional novelty 2.0 of 10

    For rotating charged black strings, the Goon-Penco relation follows directly from the extended first law, making the claimed universality a thermodynamic identity.

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