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The Off-Shell Black Hole
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The standard (Euclidean) action principle for the gravitational field implies that for spacetimes with black hole topology, the opening angle at the horizon and the horizon area are canonical conjugates. It is shown that the opening angle bears the same relation to the horizon area that the time separation bears to the mass at infinity. The dependence of the wave function on this new degree of freedom is governed by an extended Wheeler-DeWitt equation. Summing over all horizon areas yields the black hole entropy.
Forward citations
Cited by 2 Pith papers
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Dressed Subsystems in Classical Gravity
Internally dressed subsystems, whose boundaries are located by fields within the region, are exactly those whose observables close under Poisson brackets in generally covariant theories.
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Introduction to Black Hole Thermodynamics
A pedagogical review by Edward Witten that derives and explains the standard results of black hole thermodynamics: black hole entropy and temperature, the Unruh effect, the Euclidean approach, and the Ryu-Takayanagi formula.
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