1993/12/31 by S. Carlip, Steven Carlip, Claudio Teitelboim +1 · 135 citations
Physics and Astronomy · #Action (physics) #Apparent horizon #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Cosmology and Gravitation Theories #Event horizon #Extremal black hole #Horizon #Noncommutative and Quantum Gravity Theories #Nonsingular black hole models #Rotating black hole #White hole #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/12/7/011
published in Classical and Quantum Gravity 12(7), 1699-1704 (IOP Publishing) · 5 pages, LaTeX, IASSNS-HEP-93/84 and UCD-93-34 (minor changes and some added speculation)
arxiv created 1994/01/05 · openalex publication_date 1995/07/01 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 wavefunction on this new degree of freedom is governed by an extended Wheeler--DeWitt equation. The trace of the Euclidean transition amplitude, which requires a sum over all horizon areas, yields a partition function whose logarithm gives the black-hole entropy.