Tachyon constant-roll inflation in Randall–Sundrum II cosmology

Abstract

We study inflation in a model with constant second slow-roll parameter [Formula: see text]. In this case, the Hubble expansion rate equation has analytical solutions describing four possible, nontrivial inflation scenarios. The evolution of the inflaton governed by a tachyon field is studied in the framework of the standard and Randall–Sundrum II cosmology. The attractor behavior of the solution is briefly demonstrated. Finally, the calculated values of the parameters [Formula: see text] and [Formula: see text] are compared with observational data.