Quantum cosmology of quadratic f(R) theories with a FRW metric

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 dynamics of the scalar field is induced. The classical equations of motion and the Weeler-deWitt equation, in their exact versions, are solved numerically. From the choice of a free parameter in the action follow two cases, 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 seems to be normalizable and consistent with hermitian operators.

arXiv comment6 pages, 4 figures

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Cited by in corpus (4)

• Similarity solutions for the Wheeler-DeWitt equation in $f\left(R\right)$-cosmology
• A class of simple bouncing and late-time accelerating cosmologies in f(R) gravity
• 1D Supergravity FLRW Model of Starobinsky
• Supersymmetric higher-derivative models in quantum cosmology