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arxiv: 1111.4962 · v3 · pith:OMHAUGSUnew · submitted 2011-11-21 · 🌀 gr-qc · astro-ph.HE· hep-th· math-ph· math.MP

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

classification 🌀 gr-qc astro-ph.HEhep-thmath-phmath.MP
keywords coupledfieldfixinggaugegravityhamiltonianlocalscalar
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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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