Reconstruction of Deceleration Parameters from Recent Cosmic Observations

Abstract

In this paper, three kinds of simple parameterized deceleration parameters $q(z)=a+\frac{bz}{1+z}$, $q(z)=a+\frac{bz}{(1+z{)}^2}$ and $q(z)=1/2+\frac{az+b}{(1+z{)}^2}$ are reconstructed from the latest Sne Ia Gold dataset, observational Hubble data and their combination. It is found that the transition redshift from decelerated expansion to accelerated expansion $z_T$ and current decelerated parameter values $q_0$ are consistent with each other in $1\sigma$ region by only using Sne Ia Gold dataset and observational Hubble data in three parameterizations respectively. By combining the Sne Ia Gold dataset and observational Hubble data together, a tight constraint is obtained. With this combined constraints, $z_T$ is $0.505_{-0.052}^{+0.080}$, $0.368_{-0.036}^{+0.059}$, $0.767_{-0.126}^{+0.121}$ with $1\sigma$ error in three parameterizations respectively. And, it is easy to see that $z_T$ separates from each other in $1\sigma$ region clearly.

7 pages, 3 figures, 4 tables. Observational Hubble data alone as a cosmic constraint is added. Some references are added. The whole paper has almost been rewritten completely

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