Reconstruction and constraining of the jerk parameter from OHD and SNe Ia observations

Understand

Compared with the plentiful researches of the Hubble parameter and deceleration factor, the third time derivative of the scale factor $a(t)$ in the FRW cosmology, namely, the jerk parameter $j$ still lacks attention.

• In order to study the properties of $j$, we propose several kinds of parameterizations of $j(z)$ as a function of the redshift $z$.
• By setting the standard $\Lambda$CDM model as the fiducial model, we constrain the jerk models with the observational Hubble parameter data (OHD) and Type Ia Supernovae (SNe) observations.
• We find that the perturbation of $j(z)$ favors a value of nearly zero and the $\Lambda$CDM is well accommodated by the jerk reconstruction.