Asymptotic behavior of w in general quintom model

TL;DR

This paper introduces a new method to analyze the asymptotic behavior of the equation of state parameter w in general quintom models with arbitrary potentials, reproducing known results and providing a unified approach.

Contribution

A novel method using the ratio (d ln V)/(d ln a) to determine the asymptotic value of w in quintom models, applicable to arbitrary potentials.

Findings

The method reproduces known results for specific potentials.

It provides a unified framework for analyzing asymptotic behavior.

The approach simplifies calculations of stable attractors in quintom models.

Abstract

For the quintom models with arbitrary potential $V=V(\phi,\sigma)$, the asymptotic value of equation of state parameter w is obtained by a new method. In this method, w of stable attractors are calculated by using the ratio (d ln V)/(d ln a) in asymptotic region. All the known results, have been obtained by other methods, are reproduced by this method as specific examples.