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Two Topics concerning Black Holes: Extremality of the Energy, Fractality of the Horizon
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Two Topics concerning Black Holes: Extremality of the Energy, Fractality of the Horizon
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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.
Forward citations
Cited by 2 Pith papers
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The entropy of black hole under second-order deviation from equilibrium
At second order in perturbations of a stationary black hole with bifurcate Killing horizon, entropy equals apparent horizon area under the null energy condition and obeys the second law via a new balance law in covari...
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The entropy of black hole under second-order deviation from equilibrium
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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