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Quantum Theory of Black Holes

arXiv:gr-qc/9302006 · doi:10.1103/PhysRevD.47.R4192

Abstract

A solvable 2-dimensional conformally invariant midi-superspace model for black holes is obtained by imposing spherical symmetry in 4-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 fixed mass. By suitably relaxing the boundary conditions, a non-perturbative ansatz is obtained for the wave functional of a black hole interacting with its surroundings.

Plain-TeX, 13 pages, no figures, WIN-92-9, UNB Tech. Rep. 92-05