Probing Quantum General Relativity Through Exactly Soluble Midi-Superspaces II: Polarized Gowdy Models

摘要

Canonical quantization of the polarized Gowdy midi-superspace with a 3-torusspatial topology is carried out. As in an earlier work on the Einstein-Rosencylindrical waves, symmetry reduction is used to cast the original problem in4-dimensional space-times to a 3-dimensional setting. To our knowledge, this isthe first complete, systematic treatment of the Gowdy model in thegeometrodynamical setting.