https://doi.org/10.1140/epjc/s10052-018-6355-2
Regular Article - Theoretical Physics
Observational constraints on the jerk parameter with the data of the Hubble parameter
1
Department of Mathematics, Jadavpur University, Kolkata, 700032, India
2
Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima, 960-1296, Japan
* e-mail: abdulla.physics@gmail.com
Received:
5
June
2018
Accepted:
18
October
2018
Published online:
26
October
2018
We study the accelerated expansion phase of the universe by using the kinematic approach. In particular, the deceleration parameter q is parametrized in a model-independent way. Considering a generalized parametrization for q, we first obtain the jerk parameter j (a dimensionless third time derivative of the scale factor) and then confront it with cosmic observations. We use the latest observational dataset of the Hubble parameter H(z) consisting of 41 data points in the redshift range of 
, larger than the redshift range that covered by the Type Ia supernova. We also acquire the current values of the deceleration parameter 
, jerk parameter 
and transition redshift 
(at which the expansion of the universe switches from being decelerated to accelerated) with 
errors (
confidence level). As a result, it is demonstrate that the universe is indeed undergoing an accelerated expansion phase following the decelerated one. This is consistent with the present observations. Moreover, we find the departure for the present model from the standard 
CDM model according to the evolution of j. Furthermore, the evolution of the normalized Hubble parameter is shown for the present model and it is compared with the dataset of H(z).
© The Author(s), 2018
