https://doi.org/10.1140/epjp/s13360-022-02874-6
Regular Article
Constant-roll f(R) inflation compared with cosmic microwave background anisotropies and swampland criteria
1
Department of Physics, Campus of Bijar, University of Kurdistan, Bijar, Iran
2
School of Physics, Damghan University, P. O. Box 3671641167, Damghan, Iran
3
Dipartimento di Fisica E. Pancini”, Universitá di Napoli Federico II”, Via Cinthia, 80126, Naples, Italy
4
Istituto Nazionale di Fisica Nucleare (INFN), Sez. di Napoli, Via Cinthia 9, 80126, Naples, Italy
5
Scuola Superiore Meridionale, Largo S. Marcellino, 80138, Naples, Italy
6
Department of Physics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
a
mehdishokriphysics@gmail.com
Received:
15
May
2022
Accepted:
24
May
2022
Published online:
30
May
2022
Inflationary models derived from f(R) gravity, where the scalaron rolls down with a constant rate from the top to the minimum of the effective potential, are considered. Specifically, we take into account three f(R) models, i.e. Starobinsky 
, 
and the logarithmic corrected models. We compare the inflationary parameters derived from the models with the observational data of CMB anisotropies, i.e., the Planck and Keck/array datasets in order to find observational constraints on the parameters space. We find that although our f(R) constant-roll models for 
show observationally acceptable values of r, they do not predict favored values of the spectral index. In particular, we have 
for the Starobinsky and models and 
for logarithmic model. Finally, we study the models from the point of view of Weak Gravity Conjecture adopting the swampland criteria.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
