A note on the Hamiltonian constraint in canonical GR
arXiv:0711.4009 · doi:10.1088/0264-9381/25/9/095005
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.
arXiv comment6 pages, the discussion is improved, two references added, accepted in Class. Quantum Grav
References in corpus (8)
- The Dynamics of General Relativity
- Discreteness of area and volume in quantum gravity
- Spin Networks and Quantum Gravity
- Canonical Quantum Gravity
- On a global conformal invariant of initial data sets
- On certain global conformal invariants and 3-surface twistors of initial data sets
- Three-geometry and reformulation of the Wheeler-DeWitt equation
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