Quantum theory of black holes

Abstract
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.
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