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

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

2011-11-21

arxiv.org/abs/1111.4962v3

Phys. Rev. Lett. 108, 051301 (2012)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, no figures, RevTex, final published version

Scientific paper

10.1103/PhysRevLett.108.051301

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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