28-30 September 2017
Hotel Posada San Francisco, Tlaxcala
America/Mexico_City timezone
Contribution
Hotel Posada San Francisco, Tlaxcala
Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric.
Speakers
- Dr. Cupatitzio RAMÍREZ
Description
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.