2006/01/31 by Viqar Husain, Oliver Winkler · 1 citation
Mathematics · Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Covariant Hamiltonian field theory #Gravitation #Gravitational collapse #Gravitational field #Hamiltonian (control theory) #Hamiltonian system #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum gravity #Quantum mechanics #Theoretical physics #gr-qc
paper · pdf · doi:10.1103/physrevd.73.124007
published as Phys.Rev. D73 (2006) 124007 · 17 pages, published version (minor changes)
openalex publication_date 2006/06/05 · arxiv created 2006/06/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.