The Off-Shell Black Hole

Abstract

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.

5 pages, LaTeX, IASSNS-HEP-93/84 and UCD-93-34 (minor changes and some added speculation)

References in corpus (2)

• Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
• Aspects of Black Hole Quantum Mechanics and Thermodynamics in 2+1 Dimensions

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