Non-parametric reconstruction of the cosmological \textit{jerk} parameter

TL;DR

This paper reconstructs the cosmological jerk parameter non-parametrically from observational data, revealing deviations from the standard  model near redshift 1.5 with high confidence, and derives the equation of state parameter from it.

Contribution

It introduces a non-parametric method to reconstruct the jerk parameter and derives the equation of state without assuming a specific cosmological model.

Findings

Deviation from  at z=1.5 at 3 confidence

Reconstruction independent of fiducial cosmological models

Provides insights into the universe's kinematic behavior

Abstract

The cosmological jerk parameter $j$ is reconstructed in a non-parametric way from observational data independent of a fiducial cosmological model. From this kinematical quantity, the equation of state parameter for composite matter distribution is also found out. The result shows that there is a deviation from the $\Lambda$CDM model close to $z=1.5$, at the $3\sigma$ confidence level.