Canonical quantization of a minisuperspace model for gravity using self-dual variables
T. Thiemann
Abstract
The present article summarizes the work of the papers 1 dealing with the quantization of pure gravity and gravity coupled to a Maxwell field and a cosmological constant in presence of spherical symmetry. The class of models presented is intended as an interesting testing ground for the quantization of full 3+1 gravity. We are working in Ashtekar's self-dual representation.
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