QUANTUM-THEORY OF BLACK-HOLES

A solvable two-dimensional conformally invariant midisuperspace model for black holes is obtained by imposing spherical symmetry in four-dim ensional conformally invariant Einstein gravity. The Wheeler-DeWitt eq uation for the theory is solved exactly to obtain the unique quantum w ave functional for an isolated black hole with a fixed mass. By suitab ly relaxing the boundary conditions, a nonperturbative ansatz is obtai ned for the wave functional of a black hole interacting with its surro undings.