Solutions to the Wheeler DeWitt Constraint of Canonical Gravity Coupled to Scalar Matter Fields
arXiv:gr-qc/9305025 · doi:10.1088/0264-9381/10/9/007
Abstract
It is shown that the Wheeler DeWitt constraint of canonical gravity coupled to Klein Gordon scalar fields and expressed in terms of Ashtekar's variables admits formal solutions which are parametrized by loops in the three dimensional hypersurface and which are extensions of the well known Wilson loop solutions found by Jacobson, Rovelli and Smolin.
7 pages, LaTeX