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Dynamical surface gravity

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arxiv 0711.1445 v1 pith:2VJBM4EC submitted 2007-11-09 gr-qc

Dynamical surface gravity

classification gr-qc
keywords dynamicalgravitysurfaceblackdefineddiscussarbitrarycase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss how the surface gravity can be classically defined for dynamical black holes. In particular we focus on defining the surface gravity for locally defined horizons and compare a number definitions proposed in the literature. We illustrate the differences between the various proposals in the case of an arbitrary dynamical, spherically symmetric black hole spacetime. We also discuss how the trapping horizon formalism of Hayward can be related to other constructions.

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Cited by 2 Pith papers

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

  1. Penrose-Rindler equation and horizon thermodynamics of stationary black holes

    gr-qc 2026-02 conditional novelty 6.0

    For static and Kerr-like rotating black holes the horizon condition is equivalent to the Penrose–Rindler equation, which, read as a pressure equilibrium, yields a quasi-local Smarr formula with a newly defined 'Smarr volume.'

  2. Shadow of the generalized Vaidya black hole

    gr-qc 2026-07 conditional novelty 5.0

    For self-similar Husain black holes, the barotropic index α controls the shadow: α<1/2 enlarges it, α>1/2 shrinks it, with a quasistatic influx criterion for the time-dependent case.