Hamilton-Jacobi approach for quasi-exponential inflation: predictions and constraints after Planck 2015 results

Abstract

In the present work we study the consequences of considering an inflationary universe model in which the Hubble rate has a quasi-exponential dependence in the inflaton field, given by $H(\varphi )=H_{inf}\exp \left[\frac{\frac{\varphi }{m_p}}{p\left(1+\frac{\varphi }{m_p}\right)}\right]$. We analyze the inflation dynamics under the Hamilton-Jacobi approach, which allows us to consider $H(\varphi )$, rather than $V(\varphi )$, as the fundamental quantity to be specified. By comparing the theoretical predictions of the model together with the allowed contour plots in the $n_s-r$ plane and the amplitude of primordial scalar perturbations from the latest Planck data, the parameters charactering this model are constrained. The model predicts values for the tensor-to-scalar ratio $r$ and for the running of the scalar spectral index $d{n}_s/d\ln k$ consistent with the current bounds imposed by Planck, and we conclude that the model is viable.

21 pages, 4 figures, typos corrected, version accepted for publication in EPJC. arXiv admin note: text overlap with arXiv:1606.04888

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Cited by in corpus (5)

• Dynamical and observational constraints on the Warm Little Inflaton scenario
• Observational constraints on warm quasi-exponential inflation
• Hamilton-Jacobi formalism for k-inflation
• Frame-Dependence of the Hamilton-Jacobi Formalism for Inflation and Reheating in Non-Minimal Gravity
• Reconstructing square-law k-inflation from Planck data