A local Hamiltonian for spherically symmetric gravity coupled to a scalar field

Abstract

We present a gauge fixing of gravity coupled to a scalar field in spherical symmetry such that the Hamiltonian is an integral over space of a local density. Such a formulation had proved elusive over the years. As in any gauge fixing, it works for a restricted set of initial data. We argue that the set could be large enough to attempt a quantization the could include the important case of an evaporating black hole.

4 pages, no figures, RevTex, final published version

References in corpus (5)

• Loop quantization of spherically symmetric midi-superspaces
• Surprises in the Evaporation of 2-Dimensional Black Holes
• Evaporation of 2-Dimensional Black Holes
• Quantum Dilaton Gravity in Two Dimensions with Fermionic Matter
• A Partially Gauged Fixed Hamiltonian for Scalar Field Collapse

Cited by in corpus (7)

• Spherically symmetric sector of self dual Ashtekar gravity coupled to matter: Anomaly-free algebra of constraints with holonomy corrections
• An elementary introduction to loop quantum gravity
• Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics
• Self-adjointness in the Hamiltonians of deparameterized totally constrained theories: a model
• Local Hamiltonian for Spherically Symmetric Collapse: Geometrodynamics Approach
• Spherically symmetric gravity coupled to a scalar field with a local Hamiltonian: the complete initial-boundary value problem using metric variables
• Report on the session QG4 of the 13th Marcel Grossmann Meeting