Observational constraints of modified Chaplygin gas in loop quantum cosmology

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2012-08, Vol.72 (8), p.1-8, Article 2101
• Main Authors: Chakraborty, Shuvendu, Debnath, Ujjal, Ranjit, Chayan
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Chaplygin gas; Confidence intervals; Cosmology; Dark energy; Dark matter; Elementary Particles; Exact sciences and technology; Hadrons; Heavy Ions; Mathematical models; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Parameters; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Red shift; Regular Article - Theoretical Physics; String Theory; The physics of elementary particles and fields
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-012-2101-3

We have considered the FRW universe in loop quantum cosmology (LQC) model filled with the dark matter (perfect fluid with negligible pressure) and the modified Chaplygin gas (MCG) type dark energy. We present the Hubble parameter in terms of the observable parameters Ω m 0 , Ω x 0 and H 0 with the redshift z and the other parameters like A , B , C , and  α . From the Stern data set (12 points), we have obtained the bounds of the arbitrary parameters by minimizing the χ 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 α and A . From the best fit of the distance modulus μ ( z ) for our theoretical MCG model in LQC, we concluded that our model is in agreement with the Union2 sample data.