Statefinder Analysis of Symmetric Teleparallel Cosmology
Raja Solanki, P.K. Sahoo

TL;DR
This paper uses the statefinder diagnostic to analyze and differentiate two $f(Q)$ gravity models in symmetric teleparallel cosmology, revealing their implications for the universe's accelerated expansion and dark energy behavior.
Contribution
It introduces and evaluates two specific $f(Q)$ models using statefinder and Om diagnostics, providing new insights into their cosmological behaviors.
Findings
Both models predict an accelerating universe due to dark energy.
Model I exhibits phantom-like behavior, while Model II follows quintessence.
The models' trajectories in the $r-s$ plane help distinguish their nature.
Abstract
Statefinder diagnostic is a convenient method that can differentiate between the various dark energy models. In this article, we analyze the statefinder parameters in symmetric teleparallel cosmology. The gravity theory is an alternative theory to GR, where gravitational interactions attribute to the non-metricity scalar . In the present work, we consider two models which contains a linear and a non-linear form of non-metricity scalar, specifically, and , where and are free parameters and then statefinder parameters are evaluated. We plot the trajectory of our models in the plane. In addition, we analyze the physical behavior of different cosmological parameters such as density, deceleration, and the EoS parameters. Further, we use Om diagnostic to differentiate the behavior of…
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