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

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

1995-08-02

arxiv.org/abs/gr-qc/9508002v1

in Proceedings of the Conference on Heat Kernel Techniques and Quantum Gravity, held Winnipeg, Canada, August, 1994 (Discourse

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, plainTeX, 2 postscript figures (Figures for automatic inclusion are in a separate file which you should receive with

Scientific paper

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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