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. Published by the American Physical Society under the terms of the < uri xlink:href="http://creativecommons.org/ licenses/by/3.0/"> Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. © 2012 American Physical Society.
Publication Source (Journal or Book title)
Physical Review Letters
Álvarez, N., Gambini, R., & Pullin, J. (2012). Local hamiltonian for spherically symmetric gravity coupled to a scalar field. Physical Review Letters, 108 (5) https://doi.org/10.1103/PhysRevLett.108.051301