A note on the Hamiltonian constraint in canonical GR

Details A note on the Hamiltonian constraint in canonical GR A note on the Hamiltonian constraint in canonical GR

2007-11-26

arxiv.org/abs/0711.4009v2

Class.Quant.Grav.25:095005,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, the discussion is improved, two references added, accepted in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/25/9/095005

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.

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