Deparametrization And Path Integral Quantization Of Cosmological ...

In this book, homogeneous cosmological models whose Hamilton -- Jacobi equation is separable are deparametrized by turning their action functional into that of an ordinary gauge system. Canonical gauges imposed on the gauge system are used to define global phase time in terms of the canonical variables of the minisuperspace. The procedure clearly shows how the geometry of the constraint surface restricts the choice of time. The consequences that this has for path integral quantization are discussed, and the transition amplitude is obtained from relativistic isotropic models, relativistic anisotropic models (Kantowski-Sachs and Taub) and isotropic string cosmologies.