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Dynamic black-hole entropy

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arxiv gr-qc/9810006 v1 pith:T7PAFCVR submitted 1998-10-02 gr-qc

Sean A. Hayward , Shinji Mukohyama & M. C. Ashworth This is my paper · ORCID
classification gr-qc
keywords dynamicentropyblackdefinitionsfirstgravityholesadapted
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We consider two non-statistical definitions of entropy for dynamic (non-stationary) black holes in spherical symmetry. The first is analogous to the original Clausius definition of thermodynamic entropy: there is a first law containing an energy-supply term which equals surface gravity times a total differential. The second is Wald's Noether-charge method, adapted to dynamic black holes by using the Kodama flow. Both definitions give the same answer for Einstein gravity: one-quarter the area of the trapping horizon.

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Cited by 13 Pith papers

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

  1. The generalized second law as a thermodynamic selection criterion for dynamical dark energy

    gr-qc 2026-08 conditional novelty 6.0 of 10

    The generalized second law imposes complementary bounds on the horizon entropy scaling k in phantom and quintessence regimes, selecting k=2 at a smooth phantom-divide crossing.

  2. Big-Bang Nucleosynthesis and WIMP Dark Matter Freeze-Out as Probes of Yukawa Cosmology

    astro-ph.CO 2026-08 reject novelty 5.0 of 10

    Using BBN and WIMP relic density, the authors constrain the Yukawa gravity coupling α to about -0.017 to 0.018, with the lithium discrepancy still unexplained.

  3. Apparent horizon thermodynamics in an exponential $f(Q)$ gravity model

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    In an exponential f(Q) model, apparent-horizon entropy gains exponentially suppressed corrections to the area law, and the generalized second law excludes parameter values b>0.26 in the future-redshift region.

  4. Modified Cosmology from Mass-to-Horizon Relation: Background Evolution

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Viable generalized horizon entropies from the mass-to-horizon relation are restricted to a narrow neighborhood around the Bekenstein-Hawking law, yielding only Lambda-CDM-like background evolution.

  5. Modified Entropy from Action Principle

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Authors add f(R, K) to the Einstein-Hilbert action, obtain higher-derivative-free modified Friedmann equations for flat FRW, and derive a general apparent-horizon entropy expression usable for multiple entropy models.

  6. Constraints on R\'{e}nyi Entropy through Primordial Big-Bang Nucleosynthesis and Baryogenesis

    physics.gen-ph 2025-07 reject novelty 5.0 of 10

    Rényi entropy cosmology constrained by BBN: helium and deuterium allow overlapping λ ranges near 10^-85, lithium requires disjoint values, so the constant-λ model cannot solve the lithium problem.

  7. Thermodynamics of FLRW universe in Quadratic Gravity

    gr-qc 2025-07 reject novelty 5.0 of 10

    Quadratic-gravity terms are claimed to shift the thermodynamic phase structure of the FLRW apparent horizon, but the printed critical-radius formula does not follow from the paper's own equation of state.

  8. Entropy dynamics in gravitational collapse: From Minkowski breaking to de Sitter thermodynamics

    gr-qc 2026-07 conditional novelty 4.0 of 10

    The sign of the Hubble parameter unifies OCK entropy release and Volovik de Sitter thermodynamics as complementary pictures of entropy flow in collapse, without a classical bridge between them.

  9. Generalized Misner-Sharp energy in $f(R,\mathcal{G})$ gravity

    gr-qc 2025-06 conditional novelty 4.0 of 10

    This paper extends the Misner-Sharp quasilocal energy to f(R,G) gravity and applies it to apparent horizon thermodynamics, finding a phase transition in the adiabatic index for certain models.

  10. Entropy in Loop Quantum Cosmology

    gr-qc 2025-05 conditional novelty 4.0 of 10

    For flat loop quantum cosmology with logarithmic entropy corrections, the standard generalized second law fails just after the bounce for most correction values, and a sign-flipped law with negative temperatures is va...

  11. Ghost Dark Energy in the Modified Kaniadakis Cosmology

    gr-qc 2026-07 conditional novelty 3.5 of 10

    Interacting ghost dark energy in Kaniadakis-corrected cosmology mildly shifts acceleration onset and approaches ΛCDM, remaining generally unstable though less so for larger λ.

  12. Generalized Mass-to-Horizon Entropy and Horizon Thermodynamics

    gr-qc 2026-05 unverdicted novelty 3.0 of 10

    A two-parameter mass-to-horizon entropy extension yields the Friedmann equation via Clausius and modified thermodynamics while satisfying entropy maximization and stable fluctuations.

  13. An Extended Second Law of Thermodynamics

    gr-qc 2025-10 reject novelty 3.0 of 10

    The paper postulates that the second law should read sign(T)dS ≥ 0, permitting entropy decrease for negative-temperature systems, and illustrates it with LQC and Onsager vortices.

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