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APS » Journals » Phys. Rev. D » Volume 47 » Issue 10
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Phys. Rev. D 47, R4192–R4195 (1993)

Quantum theory of black holes

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J. Gegenberg
Department of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick, Canada E3B 5A3

G. Kunstatter
Institute for Theoretical Physics and Physics Department, University of Winnipeg, Winnipeg, Manitoba, Canada R3B 2E9

Received 25 November 1992; published in the issue dated 15 May 1993

A solvable two-dimensional conformally invariant midisuperspace model for black holes is obtained by imposing spherical symmetry in four-dimensional conformally invariant Einstein gravity. The Wheeler-DeWitt equation for the theory is solved exactly to obtain the unique quantum wave functional for an isolated black hole with a fixed mass. By suitably relaxing the boundary conditions, a nonperturbative ansatz is obtained for the wave functional of a black hole interacting with its surroundings.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.47.R4192
DOI:
10.1103/PhysRevD.47.R4192
PACS:
04.60.+n, 97.60.Lf
 
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