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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

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 9 Pith papers

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

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    gr-qc 2026-06 conditional novelty 5.0 of 10

    Generalized horizon-entropy models are cosmologically viable only within a narrow window around the Bekenstein–Hawking area law; all surviving models mimic ΛCDM.

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    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.

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

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    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.

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    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.

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

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    A two-parameter extension of Bekenstein entropy is applied to derive the Friedmann equations and confirm thermodynamic consistency for an accelerating universe via entropy balance and maximization.

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