Mathematics
Scientific paper
Apr 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985fiz....28...45m&link_type=abstract
Fizika (ISSN 0021-3411), vol. 28, April 1985, p. 45-50. In Russian.
Mathematics
Astronomical Models, Big Bang Cosmology, Operators (Mathematics), Quantum Theory, Singularity (Mathematics), Asymptotic Methods, Universe, Vacuum
Scientific paper
The vacuum solution of the Wheeler-De Witt quantum cosmology equation is investigated, and exact solutions in closed and open models are obtained. It is shown that operator arrangement according to De Witt leads in both cases to nonsingular general solutions. In the closed model the normalized solution is localized on the Planck scale and can serve as a model of the preinflationary universe. It is also shown that the solution asymptotics in the presence of matter has the same form as the vacuum solutions. A singular equation is obtained for operator arrangement different from that of De Witt.
Melnikov Vitaly N.
Pevtsov G. D.
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