Observational Constraints of Modified Chaplygin Gas in RS II Brane

Abstract

FRW universe in RS II braneworld model filled with a combination of dark matter and dark energy in the form of modified Chaplygin gas (MCG) is considered. It is known that the equation of state (EoS) for MCG is a three-variable equation determined by $A$, $\alpha$ and $B$. The permitted values of these parameters are determined by the recent astrophysical and cosmological observational data. Here we present the Hubble parameter in terms of the observable parameters ${\Omega }_{m0}$, ${\Omega }_{x0}$, $H_0$, redshift $z$ and other parameters like $A$, $B$, $C$ and $\alpha$. From Stern data set (12 points), we have obtained the bounds of the arbitrary parameters by minimizing the ${\chi }^2$ test. The best-fit values of the parameters are obtained by 66%, 90% and 99% confidence levels. Next due to joint analysis with BAO and CMB observations, we have also obtained the bounds of the parameters ($B,C$) by fixing some other parameters $\alpha$ and $A$. The best fit value of distance modulus $\mu (z)$ is obtained for the MCG model in RS II brane, and it is concluded that our model is perfectly consistent with the union2 sample data.

21 pages, 10 figures. arXiv admin note: substantial text overlap with arXiv:1206.0507, arXiv:1304.1281, arXiv:1211.2785, arXiv:1211.2783

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Cited by in corpus (2)

• Study of Some Parameters of Modified Chaplygin Gas in Galileon Gravity Theory from Observational Perspective
• Red-shift parametrizations of dark energy and observational constraint on their parameters: Galileon gravity as background