Statefinder diagnostic for cosmology with the abnormally weighting energy hypothesis

TL;DR

This paper applies the statefinder diagnostic to AWE cosmology, revealing unique closed loop trajectories in the statefinder plane that distinguish it from other models, due to WEP violation effects.

Contribution

It introduces the use of statefinder diagnostics to analyze AWE cosmology, highlighting its distinctive evolutionary trajectories.

Findings

Closed loops in the statefinder plane are characteristic of AWE cosmology.

Statefinder diagnostics can effectively differentiate AWE cosmology from other models.

WEP violation influences the evolution of dark energy in this framework.

Abstract

In this paper, we apply the statefinder diagnostic to the cosmology with the Abnormally Weighting Energy hypothesis (AWE cosmology), in which dark energy in the observational (ordinary matter) frame results from the violation of weak equivalence principle (WEP) by pressureless matter. It is found that there exist closed loops in the statefinder plane, which is an interesting characteristic of the evolution trajectories of statefinder parameters and can be used to distinguish AWE cosmology from the other cosmological models.