Constraints and Solutions of Quantum Gravity in Metric Representation

Details Constraints and Solutions of Quantum Gravity in Metric Representation Constraints and Solutions of Quantum Gravity in Metric Representation

1997-10-07

arxiv.org/abs/gr-qc/9710039v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, plain LaTeX

Scientific paper

We construct the regularised Wheeler-De Witt operator demanding that the algebra of constraints of quantum gravity is anomaly free. We find that for a subset of all wavefunctions being integrals of scalar densities this condition can be satisfied. We proceed to finding exact solutions of quantum gravity being of the form of functionals of volume and average curvature of compact three-manifold.

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