Bianchi I Quantum cosmology in the Bergmann-Wagoner theory
Luis O. Pimentel
TL;DR
This paper explores quantum cosmology within the Bianchi I model using the Wheeler-DeWitt equation in scalar-tensor theories, providing exact solutions, wavefunctions, and wormhole conditions.
Contribution
It presents new exact solutions to the Wheeler-DeWitt equation for Bianchi I cosmology in generalized scalar-tensor theories, including wavefunctions and wormhole solutions.
Findings
Exact solutions for two potentials and arbitrary coupling functions.
WKB wavefunctions constructed for the model.
Identification of solutions satisfying wormhole regularity conditions.
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.
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