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

Rafael D. Sorkin
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Abstract

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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Rafael D. Sorkin. 1995-08-02. Two Topics concerning Black Holes: Extremality of the Energy, Fractality of the Horizon. https://arxiv.org/abs/gr-qc/9508002

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