Exact vacuum solutions of the De Witt equation for the closed and open Friedmann models. Operator ordering and the singularity problem
Abstract
The WylerDe Witt vacuum equation of quantum cosmology is investigated. Exact solutions are obtained in the closed and open models. It is demonstrated that the operator ordering of De Witt results in nonsingular general solutions in both cases. In the closed model the normalized solution is localized on the Planck scale and can be used as a model of the preinflationary universe. It is also demonstrated that the asymptotics of the solution with matter have the same form as the vacuum solutions. In a definite example of an operator ordering differing from that of the De Witt a singular solution is obtained.
 Publication:

Soviet Physics Journal
 Pub Date:
 April 1985
 DOI:
 10.1007/BF01301557
 Bibcode:
 1985SvPhJ..28..292M