Quantum Cosmology of Quadratic Theories with a FRW Metric

V. Vázquez-Báez and C. Ramírez

Advances in Mathematical Physics, 2017, vol. 2017, 1-5

Abstract:

We study the quantum cosmology of a quadratic theory with a FRW metric, via one of its equivalent Horndeski type actions, where the dynamic of the scalar field is induced. The classical equations of motion and the Wheeler-DeWitt equation, in their exact versions, are solved numerically. There is a free parameter in the action from which two cases follow: inflation + exit and inflation alone. The numerical solution of the Wheeler-DeWitt equation depends strongly on the boundary conditions, which can be chosen so that the resulting wave function of the universe is normalizable and consistent with Hermitian operators.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:1056514

DOI: 10.1155/2017/1056514

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