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arxiv: gr-qc/9302006 · v1 · submitted 1993-02-05 · 🌀 gr-qc · hep-th

Quantum Theory of Black Holes

classification 🌀 gr-qc hep-th
keywords blackconformallydimensionalfunctionalholeholesinvariantobtained
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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.

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