A local Hamiltonian for spherically symmetric gravity coupled to a scalar field
General Relativity and Quantum Cosmology
2012-02-13 v3 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1111.4962,
title = {A local Hamiltonian for spherically symmetric gravity coupled to a scalar field},
author = {Nestor Alvarez and Rodolfo Gambini and Jorge Pullin},
journal= {arXiv preprint arXiv:1111.4962},
year = {2012}
}
Comments
4 pages, no figures, RevTex, final published version