Abstract
Using the Hamiltonian constraint derived by Ashtekar and Bojowald, we look for preclassical wave functions in the Schwarzschild interior. In particular, when solving this difference equation by separation of variables, an inequality is obtained relating the Immirzi parameter to the quantum ambiguity appearing in the model. This bound is violated when we use a natural value for based on loop quantum gravity together with a recent proposal for . We also present numerical solutions of the constraint.
- Received 9 February 2006
DOI:https://doi.org/10.1103/PhysRevD.73.104009
©2006 American Physical Society