https://doi.org/10.1140/epjc/s10052-017-5109-x
Regular Article - Theoretical Physics
f(R) constant-roll inflation
1
Instituto de Física Corpuscular (IFIC), Universidad de Valencia-CSIC, 46980, Valencia, Spain
2
L. D. Landau Institute for Theoretical Physics RAS, Moscow, 119334, Russia
3
National Research University Higher School of Economics, Moscow, 101000, Russia
* e-mail: motohashi@ific.uv.es
Received:
5
July
2017
Accepted:
25
July
2017
Published online:
11
August
2017
The previously introduced class of two-parametric phenomenological inflationary models in general relativity in which the slow-roll assumption is replaced by the more general, constant-roll condition is generalized to the case of f(R) gravity. A simple constant-roll condition is defined in the original Jordan frame, and exact expressions for a scalaron potential in the Einstein frame, for a function f(R) (in the parametric form) and for inflationary dynamics are obtained. The region of the model parameters permitted by the latest observational constraints on the scalar spectral index and the tensor-to-scalar ratio of primordial metric perturbations generated during inflation is determined.
© The Author(s), 2017
