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Quantum Hamiltonian for gravitational collapse

Viqar Husain·Oliver Winkler
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Abstract

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.

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Viqar Husain, Oliver Winkler. 2006-06-06. Quantum Hamiltonian for gravitational collapse. https://doi.org/10.1103/physrevd.73.124007

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