A local Hamiltonian for spherically symmetric gravity coupled to a   scalar field
  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. 
Nestor Alvarez, Rodolfo Gambini and Jorge Pullin
gr-qc astro-ph.HE hep-th math-ph math.MP