Abstract In the framework of a five-dimensional (5D) bounce cosmological model, a useful function $f(z)$ is obtained by giving a concrete expression of deceleration parameter $q(z)=q_1+\dfrac{q_2}{1+\ln (1+ z)}$. Then using the obtained Hubble parameter $H(z)$ according to the function $f(z)$, we constrain the accelerating universe from recent cosmic observations: the 192 ESSENCE SNe Ia and the 9 observational $H(z)$ data. The best fitting values of transition redshift $z_T$ and current deceleration parameter $q_0 $ are given as $z_T = 0.65_{ - 0.12}^{ + 0.25} $ and $q_0 = - 0.76_{ - 0.15}^{ + 0.15} (1\sigma )$. Furthermore, in the 5D bounce model it can be seen that the evolution of equation of state (EOS) for dark energy $w_{\rm de} $ can cross over $-1$ at about $z=0.23$ and the current value $w_{\rm 0de} = - 1.15<- 1$. On the other hand, by giving a concrete expression of model-independent EOS of dark energy $w_{\rm de} $, in the 5D bounce model we obtain the best fitting values $z_T = 0.66_{ - 0.08}^{ + 0.11} $ and $q_0 = - 0.69_{ - 0.10}^{ + 0.10} (1\sigma)$ from the recently observed data: the 192 ESSENCE SNe Ia, the observational $H(z)$ data, the 3-year Wilkinson Microwave Anisotropy Probe (WMAP), the Sloan Digital Sky Survey (SDSS) baryon acoustic peak and the x-ray gas mass fraction in clusters.
Received: 11 July 2008
Revised: 18 August 2008
Accepted manuscript online:
PACS:
98.80.Cq
(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
(Distances, redshifts, radial velocities; spatial distribution of galaxies)
Fund: Project supported by
the National Natural Science Foundation of China (Grant Nos 10573004
and 10703001), and Specialized Research Fund for the Doctoral
Program of Higher Education (Grant No 2007141034).
Cite this article:
Lü Jian-Bo(吕剑波), Xu Li-Xin(徐立昕), Liu Mo-Lin(刘墨林), and Gui Yuan-Xing(桂元星) Observational constraints on the accelerating universe in the framework of a 5D bounce cosmological model 2009 Chin. Phys. B 18 1711
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