Spherically symmetric gravity coupled to a scalar field with a local Hamiltonian: the complete initial-boundary value problem using metric variables

Abstract

We discuss 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. In a previous paper we had presented it using Ashtekar's new variables. Here we study it in metric variables. We specify completely the initial-boundary value problem for ingoing Gaussian pulses.

6 pages, 1 figure

References in corpus (4)

• A local Hamiltonian for spherically symmetric gravity coupled to a scalar field
• A Partially Gauged Fixed Hamiltonian for Scalar Field Collapse
• Self-adjointness in the Hamiltonians of deparameterized totally constrained theories: a model
• Local Hamiltonian for Spherically Symmetric Collapse: Geometrodynamics Approach

Cited by in corpus (1)

• Spherically symmetric sector of self dual Ashtekar gravity coupled to matter: Anomaly-free algebra of constraints with holonomy corrections