Constraints on kinematic model from recent cosmic observations: SN Ia, BAO and observational Hubble data

In this paper, linear first order expansion of deceleration parameter q(z) = q0+q1(1−a) (M1), constant jerk j = j0 (M2) and third order expansion of luminosity distance (M3) are confronted with cosmic observations: SCP 307 SN Ia, BAO and observational Hubble data (OHD). Likelihood is implemented to find the best fit model parameters. All these models give the same prediction of the evolution of the universe which is undergoing accelerated expansion currently and experiences a transition from decelerated expansion to accelerated expansion. But, the transition redshift depends on the concrete parameterized form of the model assumed. M1 and M2 give value of transition redshift about zt ∼ 0.6. M3 gives a larger one, say zt ∼ 1. The χ2/dof implies almost the same goodness of the models. But, for its badness of evolution of deceleration parameter at high redshift z > 1, M3 can not be reliable. M1 and M2 are compatible with ΛCDM model at the 2σ and 1σ confidence levels respectively. M3 is not compatible with ΛCDM model at 2σ confidence level. From M1 and M2 models, one can conclude that the cosmic data favor a cosmological model having j0 < −1