Constraints on kinematic models from the latest observational data

TL;DR

This paper uses recent observational data to constrain kinematic cosmological models, focusing on parameters like deceleration, jerk, and transition redshift, and compares these models to the standard $ ext{Lambda}$CDM model.

Contribution

It provides updated constraints on kinematic model parameters using the latest supernova and Hubble data, highlighting differences from the $ ext{Lambda}$CDM model.

Findings

Current data constrains deceleration and transition redshift.

Jerk parameter shows weak constraints from current data.

Departures from $ ext{Lambda}$CDM are analyzed through jerk evolution.

Abstract

Kinematical models are constrained by the latest observational data from geometry-distance measurements, which include 557 type Ia supernovae (SNIa) Union2 data and 15 observational Hubble data. Considering two parameterized deceleration parameter, the values of current deceleration parameter $q_{0}$, jerk parameter $j_{0}$ and transition redshift $z_{T}$, are obtained. Furthermore, we show the departures for two parameterized kinematical models from $\Lambda$CDM model according to the evolutions of jerk parameter $j(z)$. Also, it is shown that the constraint on jerk parameter $j(z)$ is weak by the current geometrical observed data.