Bianchi I Quantum cosmology in the Bergmann-Wagoner theory
arXiv:gr-qc/0009046 · doi:10.1023/A:1010247606118
Abstract
The Wheeler-DeWitt equation is considered in the context of generalized scalar-tensor theories of gravitation for Bianchi type I cosmology. Exact solutions are found for two selfinteracting potentials and arbitary coupling function. The WKB wavefunctions are obtained and a family of solutions satisfying the Hawking-Page regularity conditions of wormholes are found.
12 pages, Latex file