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A Partially Gauged Fixed Hamiltonian for Scalar Field Collapse

R. G. Daghigh·J. Gegenberg·G. Kunstatter
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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.

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R. G. Daghigh, J. Gegenberg, G. Kunstatter. 2007-08-09. A Partially Gauged Fixed Hamiltonian for Scalar Field Collapse. https://doi.org/10.1088/0264-9381%2F24%2F8%2F010

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