Quantum Hamiltonian for gravitational collapse
arXiv:gr-qc/0601082 · doi:10.1103/PhysRevD.73.124007
Abstract
Using a Hamiltonian formulation of the spherically symmetric gravity-scalar field theory adapted to flat spatial slicing, we give a construction of the reduced Hamiltonian operator. This Hamiltonian, together with the null expansion operators presented in an earlier work, form a framework for studying gravitational collapse in quantum gravity. We describe a setting for its numerical implementation, and discuss some conceptual issues associated with quantum dynamics in a partial gauge fixing.
17 pages, published version (minor changes)