A new approach in stability analysis: case study: tachyon cosmology with non-minimally coupled scalar field-matter

TL;DR

This paper introduces a new stability analysis method for tachyon cosmology models with non-minimally coupled scalar fields, deriving fixed points and validating the model with supernovae data.

Contribution

It provides an analytic framework for stability analysis and applies it to a specific cosmological model involving tachyonic potential and non-minimal coupling.

Findings

Identification of attractor solutions in the model

Stable fixed points consistent with cosmological observations

Model fitting to supernovae type Ia data supports viability

Abstract

We study the general properties of attractors in a cosmological model with tachyonic potential and a scalar field non-minimally coupled to matter. A general analytic formulation is given to derive fixed points with a discussion on their stability. We also check the consistency of the model by fitting it to the supernovae type Ia data.