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Constant-roll inflation with hilltop potential

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Abstract

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 \(95\%\) 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.

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Acknowledgements

We thank the referee for the very insightful comments that have improved the quality of the paper considerably.

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Authors and Affiliations

  1. Department of Theoretical Physics, Faculty of Science, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran

    Narges Rashidi, Mohaddeseh Heidarzadeh & Kourosh Nozari

  2. ICRANet-Mazandaran, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran

    Narges Rashidi & Kourosh Nozari

Authors
  1. Narges Rashidi
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  2. Mohaddeseh Heidarzadeh
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  3. Kourosh Nozari
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Correspondence to Narges Rashidi.

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Rashidi, N., Heidarzadeh, M. & Nozari, K. Constant-roll inflation with hilltop potential. Eur. Phys. J. Plus 137, 514 (2022). https://doi.org/10.1140/epjp/s13360-022-02740-5

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