Hamilton-Jacobi formalism for k-inflation

Abstract

We consider a type of k-inflation under the Hamilton-Jacobi approach. We calculate various observables such as the scalar power spectrum, the tensor-to-scalar ratio, the scalar spectra index for the case where the Hubble parameter is a power-law function of k-field. The model's parameters are constrained with Planck data and the concrete form of the potential is presented. The results show that the model can be in good agreement with observations.

10 pages, 2 figures, 1 table

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Cited by in corpus (3)

• Frame-Dependence of the Hamilton-Jacobi Formalism for Inflation and Reheating in Non-Minimal Gravity
• Reconstructing square-law k-inflation from Planck data
• Constraining tachyonic inflationary β-exponential model with Continuous Spontaneous Localization collapse scheme