A note on the Hamiltonian constraint in canonical GR
General Relativity and Quantum Cosmology
2008-11-26 v2
Abstract
The Hamiltonian constraint of the coupled Einstein-Yang-Mills-Higgs system with a cosmological constant is shown to be a pure Poisson bracket of a dimensionless functional on the phase space and the volume of the three-space. One of its potential consequences, a restriction on the eigenstates of the volume operator in a class of canonical quantum gravity theories, is also pointed out.
Cite
@article{arxiv.0711.4009,
title = {A note on the Hamiltonian constraint in canonical GR},
author = {Laszlo B. Szabados},
journal= {arXiv preprint arXiv:0711.4009},
year = {2008}
}
Comments
6 pages, the discussion is improved, two references added, accepted in Class. Quantum Grav