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

Abstract EN

We study the quantum cosmology of a quadratic fR 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.