Statefinder diagnostic in a torsion cosmology

TL;DR

This paper applies the statefinder diagnostic to a torsion cosmology model with scalar torsion in Riemann-Cartan geometry, identifying characteristic evolution patterns and fitting the model to supernova data.

Contribution

It introduces the use of the statefinder diagnostic in torsion cosmology and analyzes its ability to distinguish this model from others, including data fitting.

Findings

Distinctive evolution of statefinder parameters in torsion cosmology

Statefinder diagnostic correlates with critical points in the model

Best fit parameters obtained from supernova data

Abstract

We apply the statefinder diagnostic to the torsion cosmology, in which an accounting for the accelerated universe is considered in term of a Riemann-Cartan geometry: dynamic scalar torsion. We find that there are some typical characteristic of the evolution of statefinder parameters for the torsion cosmology that can be distinguished from the other cosmological models. Furthermore, we also show that statefinder diagnostic has a direct bearing on the critical points. The statefinder diagnostic divides the torsion parameter $a_1$ into differential ranges, which is in keeping with the requirement of dynamical analysis. In addition, we fit the scalar torsion model to ESSENCE supernovae data and give the best fit values of the model parameters.