A Partially Gauged Fixed Hamiltonian for Scalar Field Collapse

Abstract

We derive a partially gauge fixed Hamiltonian for black hole formation via real scalar field collapse. The class of models considered includes many theories of physical interest, including spherically symmetric black holes in $D$ spacetime dimensions. The boundary and gauge fixing conditions are chosen to be consistent with generalized Painleve-Gullstrand coordinates, in which the metric is regular across the black hole future horizon. The resulting Hamiltonian is remarkably simple and we argue that it provides a good starting point for studying the quantum dynamics of black hole formation.

arXiv comment13 pages

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Cited by in corpus (6)

• De Sitter bubbles from anti-de Sitter fluctuations
• Hamiltonian Formulation of Scalar Field Collapse in Einstein Gauss Bonnet Gravity
• A local Hamiltonian for spherically symmetric gravity coupled to a scalar field
• Higher Dimensional Choptuik Scaling in Painleve Gullstrand Coordinates
• 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