Quantum geometrodynamics for black holes and wormholes

Details Quantum geometrodynamics for black holes and wormholes Quantum geometrodynamics for black holes and wormholes

1997-08-25

arxiv.org/abs/gr-qc/9708060v1

Phys.Rev.D57:1118-1128,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 32 pages, 5 figs

Scientific paper

10.1103/PhysRevD.57.1118

The geometrodynamics of the spherical gravity with a selfgravitating thin dust shell as a source is constructed. The shell Hamiltonian constraint is derived and the corresponding Schroedinger equation is obtained. This equation appeared to be a finite differences equation. Its solutions are required to be analytic functions on the relevant Riemannian surface. The method of finding discrete spectra is suggested based on the analytic properties of the solutions. The large black hole approximation is considered and the discrete spectra for bound states of quantum black holes and wormholes are found. They depend on two quantum numbers and are, in fact, quasicontinuous.

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