Tachyon constant-roll inflation in Randall-Sundrum II cosmology

TL;DR

This paper explores tachyon-driven constant-roll inflation within Randall-Sundrum II cosmology, deriving analytical solutions for various inflation scenarios, analyzing their attractor behavior, and comparing model predictions with observational data.

Contribution

It introduces analytical solutions for tachyon constant-roll inflation in Randall-Sundrum II cosmology and assesses their observational viability.

Findings

Derived four inflation scenarios with analytical solutions.

Demonstrated attractor behavior of solutions.

Compared model predictions with observational data.

Abstract

We study inflation in a model with constant second slow-roll parameter $\eta$. 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 $n_{\rm s}$ and $r$ are compared with observational data.