Preheating constraints in α-attractor inflation and gravitational waves production

Abstract

We propose a scenario where preheating occurs for a specific duration that is parametrized by an [Formula: see text]-folds number [Formula: see text], our results suggest a direct correlation between the preheating duration and the density of gravitational waves (GWs) produced during this phase. Moreover, we investigate the consequences of the inflationary parameters on the [Formula: see text]-attractor [Formula: see text] model in the small [Formula: see text] limits. In this framework, we perform investigations on the preheating parameters involving the number of [Formula: see text]-folds [Formula: see text], and the temperature of reheating [Formula: see text], then we show that the parameter [Formula: see text] associated with the [Formula: see text] model of [Formula: see text]-attractor inflation has a negligible effect on the preheating duration, and we demonstrate that gravitational wave generation during preheating satisfies the restrictions from Planck’s recent data.