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arXiv · 1111.4962

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

Nestor Alvarez·Rodolfo Gambini·Jorge Pullin
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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.

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Nestor Alvarez, Rodolfo Gambini, Jorge Pullin. 2012-02-10. A local Hamiltonian for spherically symmetric gravity coupled to a scalar field. https://doi.org/10.1103/physrevlett.108.051301

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