The observational constraint on constant-roll inflation
Feb 5, 201813 pages
Published in:
- Sci.China Phys.Mech.Astron. 61 (2018) 7, 070411
- Published: Mar 20, 2018
e-Print:
- 1802.01986 [gr-qc]
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Abstract: (Springer)
We discuss the constant-roll inflation with constant ϵ and constant . By using the method of Bessel function approximation, the analytical expressions for the scalar and tensor power spectra, the scalar and tensor spectral tilts, and the tensor to scalar ratio are derived up to the first order of ϵ. The model with constant ϵ is ruled out by the observations at the 3σ confidence level, and the model with constant is consistent with the observations at the 1σ confidence level. The potential for the model with constant is also obtained from the Hamilton-Jacobi equation. Although the observations constrain the constant-roll inflation to be the slow-roll inflation, the n-r results from the constant-roll inflation are not the same as those from the slow-roll inflation even when ~ 0.01.Note:
- Typos corrected and references updated. Accepted for publication in Sci. China Phys. Mech. Astron. arXiv admin note: substantial text overlap with arXiv:1801.09208
- 98.80.Cq
- 98.80.-k
- 04.50.Kd
- constant-roll inflation
- cosmological perturbations
- cosmological constraints
- inflation: slow-roll approximation
- power spectrum: tensor
- Hamilton-Jacobi equation
- spectral
References(49)
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