Quantum Theory of Black Holes
J. Gegenberg, G. Kunstatter
TL;DR
This paper develops an exactly solvable quantum model of black holes using a 2D conformally invariant gravity framework, providing explicit wave functionals for isolated and interacting black holes.
Contribution
It introduces a novel solvable 2D conformal gravity model for black holes and derives exact quantum wave functionals, advancing understanding of black hole quantum states.
Findings
Exact solutions to the Wheeler-DeWitt equation for black holes
Explicit wave functional for isolated black holes with fixed mass
Non-perturbative ansatz for black holes interacting with surroundings
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.
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