Cosmic Duality and Statefinder Diagnosis of Spinor Quintom

TL;DR

This paper explores the relationships among Spinor Quintom Dark Energy models using duality and employs the statefinder diagnostic to distinguish between models based on their evolutionary trajectories and current parameter locations.

Contribution

It introduces a duality-based approach to connect Spinor Quintom models and applies the statefinder diagnostic for model differentiation in a model-independent way.

Findings

Distinct evolutionary trajectories in statefinder planes.

Current parameter locations correspond to different models.

Duality relations among Spinor Quintom models.

Abstract

In this paper, we study the possible connections among different Spinor Quintom Dark Energy (DE) models by the aid of duality. Then we apply the statefinder diagnostic to these models. By this diagnostic pair {$\{r,s\}$}, we differentiate one Quintom DE model from the others in a model independent manner. A class of evolutionary trajectories of these Spinor Quintom models are presented in the statefinder parameter planes. We also obtain the current locations of the parameters $r$ and $s$, and these locations correspond to different models in statefinder parameter planes theoretically.