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A Universal Relation Between Corrections to Entropy and Extremality

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arxiv 1909.05254 v2 pith:SB3HYGP4 submitted 2019-09-11 hep-th gr-qc

Garrett Goon , Riccardo Penco This is my paper
classification hep-thgr-qc
keywords blackcorrectionsentropyextremalityholesrelationresultuniversal
verification ladder T0 review T1 audit T2 compute T3 formal
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Perturbative corrections to General Relativity alter the expressions for both the entropy of black holes and their extremality bounds. We prove a universal relation between the leading corrections to these quantities. The derivation is purely thermodynamic and the result also applies beyond the realm of gravitational systems. In scenarios where the correction to the entropy is positive, our result proves that the perturbations decrease the mass of extremal black holes, when holding all other extensive variables fixed in the comparison. This implies that the extremality relations of a wide class of black holes display Weak Gravity Conjecture-like behavior.

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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. Causality Constraints on Black Hole Thermodynamics in Nonlinear Electrodynamics

    hep-th 2025-05 conditional novelty 6.0 of 10

    Causality in nonlinear electrodynamics forces the entropy-to-mass-squared ratio of black holes to decrease with mass and the extremal mass-to-charge ratio to increase with charge.

  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. Universality on thermodynamic relation with corrections in higher-dimensional de Sitter black holes

    gr-qc 2025-07 conditional novelty 4.0 of 10

    The Goon-Penco thermodynamic extremality relation is verified for higher-dimensional, rotating de Sitter black holes with charge.

  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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