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

arXiv eprints
 Pub Date:
 August 1995
 arXiv:
 arXiv:grqc/9508002
 Bibcode:
 1995gr.qc.....8002S
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 18 pages, plainTeX, 2 postscript figures (Figures for automatic inclusion are in a separate file which you should receive with the .tex file. For instructions on decoding and including them (or omitting them to avoid error messages if your system can't handle them) see the box at the beginning of the tex file for this paper.)