Dynamical systems analysis of tachyon dark energy model from a new perspective

TL;DR

This paper introduces a new dynamical systems approach to analyze tachyon dark energy models using parametrized equations of state, avoiding explicit potential forms, and explores phase space dynamics for different EoS parametrizations.

Contribution

It presents a novel, generic method to study tachyon dark energy without specifying the potential, applicable to various scalar field models.

Findings

Taylor series EoS parametrization has cosmological limitations

The method effectively analyzes both canonical and phantom tachyon fields

Phase space analysis reveals stability and evolution features of the models

Abstract

In this work we present a new scheme to study the tachyon dark energy model using dynamical systems analysis by considering parametrization of the equation of state(EoS) of the dark energy. Both the canonical and phantom field dynamics are investigated. In our method we do not require any explicit form of the tachyon potential. Instead of the potential we start with an approximate form of the EoS of the tachyon field. This EoS is phenomenologically motivated and contains some dimensionless parameters. Using our method we can construct the dynamical system which gives rise to the time evolution of the universe. We have considered two different parametrizations of the EoS and studied the phase space dynamics in details. Our analysis shows Taylor series parametrization of the EoS has serious cosmological limitations. Our proposal is generic in nature and can be applied to other scalar field dark energy models.