Abstract
We consider a minisuperspace cosmological model generated by coupling nonminimally a vector field with the gravitational field. The classical solutions are divided into three sets: singular solutions, eternal universes with an expansion phase and flat spacetime. We apply quantum cosmological arguments to investigate which of them is the most probable classical solution. The semiclassical cosmological wave functions satisfy the correspondence principle, and examples are shown in which the three sets of classical solutions can be predicted from different classes of WKB wave functions. As a particular example we have considered the no-boundary wave function, which predicts flat spacetime. No solutions can be obtained from the tunneling boundary condition.
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