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arXiv · 1712.07478

On the constant-roll inflation

Zhu Yi·Yungui Gong
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Abstract

The primordial power spectra of scalar and tensor perturbations during slow-roll inflation are usually calculated with the method of Bessel function approximation. For constant-roll or ultra slow-roll inflation, the method of Bessel function approximation may be invalid. We compare the numerical results with the analytical results derived from the Bessel function approximation, and we find that they differ significantly on super-horizon scales if the constant slow-roll parameter $η_H$ is not small. More accurate method is needed for calculating the primordial power spectrum for constant-roll inflation.

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Zhu Yi, Yungui Gong. 2018-03-23. On the constant-roll inflation. https://doi.org/10.1088/1475-7516%2F2018%2F03%2F052

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