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.

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

References in corpus (4)

• Warm Inflation and its Microphysical Basis
• The warm inflationary universe
• Reconstructing a general inflationary action
• Stability analysis for the background equations for inflation with dissipation and in a viscous radiation bath

Cited by in corpus (1)

• Recent developments in warm inflation