Inflection Point of Minimally Coupled Tachyonic Scalar Field

TL;DR

This paper analyzes the behavior of a minimally coupled tachyonic scalar field at inflection points in an accelerating universe, deriving potentials and stability conditions using dynamical systems.

Contribution

It introduces a method to determine potentials and stability of tachyonic scalar fields at inflection points in cosmological models.

Findings

Derived potentials for tachyonic scalar fields at inflection points.

Identified stable points using dynamical system analysis.

Provided insights into the field's behavior in accelerating universes.

Abstract

In this paper, we investigate the behaviour of a minimally coupled tachyonic scalar field at inflection points in an accelerating universe. We consider the different expansion factors and obtain potentials of tachyonic scalar field. Inflection points of homogeneous tachyonic scalar field is calculated for these potentials. We employ the tools of dynamical system analysis for the considered potentials and obtain the stable points.