Consistency of warm k-inflation

Abstract

We extend the k-inflation which is a type of kinetically driven inflationary model under the standard inflationary scenario to a possible warm inflationary scenario. The dynamical equations of this warm k-inflation model are obtained. We rewrite the slow-roll parameters which are different from the usual potential driven inflationary models and perform a linear stability analysis to give the proper slow-roll conditions in the warm k-inflation. Two cases, a power-law kinetic function and an exponential kinetic function, are studied, when the dissipative coefficient $\Gamma ={\Gamma }_0$ and $\Gamma =\Gamma (\varphi )$, respectively. A proper number of e-folds is obtained in both concrete cases of warm k-inflation. We find a constant dissipative coefficient ($\Gamma ={\Gamma }_0$) is not a workable choice for these two cases while the two cases with $\Gamma =\Gamma (\varphi )$ are self-consistent warm inflationary models.

arXiv comment8 pages. Accepted for publication as a Regular Article in Physical Review D

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• Dynamic analysis of noncanonical warm inflation
• Two models unifying warm inflation with dark matter and dark energy
• Two-field Warm Inflation and Its Scalar Perturbations on Large Scales
• Non-Gaussianity in the warm k-inflation
• Effect of Dissipation on Warm Chromo-Natural Inflation
• K-inflation: the legitimacy of classical treatment
• The primordial non-Gaussianities for non-singular Horndeski cosmologies
• Primordial non-Gaussianity in noncanonical warm inflation with nonminimal derivative coupling
• Dynamics of potential-free warm $\mathbf{k}$-inflation with nonminimal derivative coupling