Quantum Theory of Black Holes

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

References in corpus (4)

• Evanescent Black Holes
• Evaporation of Two Dimensional Black Holes
• Semiclassical Approach to Black Hole Evaporation
• A Non Degenerate Semi-Classical Lagrangian for Dilaton-Gravity in Two Dimensions

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• Dirac Constraint Quantization of a Dilatonic Model of Gravitational Collapse
• Conserved Quasilocal Quantities and General Covariant Theories in Two Dimensions
• Reduced phase space formalism for spherically symmetric geometry with a massive dust shell
• Hamiltonian thermodynamics of a Lovelock black hole
• Geometrodynamical Formulation of Two-Dimensional Dilaton Gravity
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• Quantum Gravity and Turning Points in the Semiclassical Approximation
• Quantum Cosmology of Generalized Two--Dimensional Dilaton Gravity Models
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• Exact Quantum States for all Two-Dimensional Dilaton Gravity Theories
• Generalized dilaton gravity in 2d
• Local Hamiltonian for Spherically Symmetric Collapse: Geometrodynamics Approach
• Schwarzschild-de Sitter black hole in canonical quantization