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arXiv · 0711.4009

A note on the Hamiltonian constraint in canonical GR

Laszlo B. Szabados
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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.

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Laszlo B. Szabados. 2008-03-25. A note on the Hamiltonian constraint in canonical GR. https://doi.org/10.1088/0264-9381%2F25%2F9%2F095005

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