https://doi.org/10.1140/epjp/s13360-022-02740-5
Regular Article
Constant-roll inflation with hilltop potential
1
Department of Theoretical Physics, Faculty of Science, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
2
ICRANet-Mazandaran, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
Received:
22
February
2022
Accepted:
18
April
2022
Published online:
27
April
2022
We study cosmological dynamics of the constant-roll inflation with a hilltop potential, where the potential has a very small deviation from the exactly flat one. After presenting the main equations of the inflation phase, we express the scalar spectral index and tensor-to-scalar ratio in terms of the e-folds number and the mentioned deviation parameter. By performing some numerical analysis on the model parameters space and comparing the results with Planck2018 TT, TE, EE+lowE+lensing+BAO+BK14 data, we find some constraints on the deviation parameter at both 68 and 
CL. We show that in the constant-roll inflation with hilltop potential, there is no instantaneous reheating and few e-folds are needed for reheating process to be completed.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
