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Two Topics concerning Black Holes: Extremality of the Energy, Fractality of the Horizon

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arxiv gr-qc/9508002 v1 pith:BRUCAIIQ submitted 1995-08-02 gr-qc hep-th

Rafael D. Sorkin (Syracuse University , UNAM) This is my paper · ORCID
classification gr-qchep-th
keywords blackenergyextremalityfirstfluctuationsholeshorizonlambda
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We treat two aspects of the physics of stationary black holes. First we prove that the proportionality, d(energy) ~ d(area) for arbitrary perturbations (``extended first law''), follows directly from an extremality theorem drawn from earlier work. Second we consider quantum fluctuations in the shape of the horizon, concluding heuristically that they exhibit a fractal character, with order lambda fluctuations occurring on all scales lambda below M^{1/3} in natural units.

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Cited by 1 Pith paper

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  1. The entropy of black hole under second-order deviation from equilibrium

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    The entropy of a dynamical black hole equals the area of its apparent horizon at second order in perturbations when the null energy condition holds.

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