Global phase time and wave function for the Kantowski-Sachs anisotropic universe

摘要

A consistent quantization with a clear notion of time and evolution is given for the anisotropic Kantowski-Sachs cosmological model. It is shown that a suitable coordinate choice allows to obtain a solution of the Wheeler-DeWitt equation in the form of definite energy states, and that the results can be associated to two disjoint equivalent theories, one for each sheet of the constraint surface. [References: 15]