Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric

V. Vázquez-Báez and C. Ramírez

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

Abstract: We study the quantum cosmology of a quadratic f(R) 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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https://doi.org/10.1155/2017/1056514

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:1056514

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