Functional description of S1 × S2 and S 3 Gowdy cosmologies

Abstract

We will briey review the classical formulation of the 3-handle S 1 × S2 and 3-sphere S3 Gowdy cosmological models coupled with massless scalar fields and their exact (nonperturbative) quantization by defining suitable Schrödinger functional representations in terms of appropriate probability spaces. We will pay special attention to the construction of closed expressions for the corresponding quantum time evolution propagators. © 2009 IOP Publishing Ltd.