Consistency of the tachyon warm inflationary universe models

Abstract

This study concerns the consistency of the tachyon warm inflationary models. A linear stability analysis is performed to find the slow-roll conditions, characterized by the potential slow-roll (PSR) parameters, for the existence of a tachyon warm inflationary attractor in the system. The PSR parameters in the tachyon warm inflationary models are redefined. Two cases, an exponential potential and an inverse power-law potential, are studied, when the dissipative coefficient $\Gamma ={\Gamma }_0$ and $\Gamma =\Gamma (\varphi )$, respectively. A crucial condition is obtained for a tachyon warm inflationary model characterized by the Hubble slow-roll (HSR) parameter ${\epsilon }_{{}_H}$, and the condition is extendable to some other inflationary models as well. A proper number of e-folds is obtained in both cases of the tachyon warm inflation, in contrast to existing works. It is also found that a constant dissipative coefficient $(\Gamma ={\Gamma }_0)$ is usually not a suitable assumption for a warm inflationary model.

10 pages, 0 figures, accepted for publication in Journal of Cosmology and Astroparticle Physics (JCAP)

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