Abstract
We have assumed an FRW universe in a loop quantum cosmology (LQC) model, filled with dark matter and Generalized Cosmic Chaplygin gas (GCCG) dark energy, where dark matter follows a linear equation of state. We present the Hubble parameter in terms of the observable parameters Ωm0 and H0 with the redshift z and the other parameters like A, B, w m , ω and α which coming from our model. From Stern data set (12 points) & SNe Type Ia 292 data (from Riess et al. in Astrophys. J. 607:665, 2004; Astrophys. J. 659:98, 2007; Astier et al. in Astron. Astrophys. 447:31, 2006) we have obtained the bounds of the arbitrary parameters by minimizing the χ2 test. The best-fit values of the parameters are obtained by 66 %, 90 % and 99 % confidence levels. Next due to joint analysis with Stern + BAO and Stern + BAO + CMB observations, we have also obtained the bounds of the parameters (A,B) by fixing some other parameters α, w m and ω. From the best fit values of the parameters, we have obtained the distance modulus μ(z) for our theoretical GCCG model in LQC and from Supernovae Type Ia (Union2 sample 552 data from Amanullah et al. in Astrophys. J. 716:712, 2010 & Riess 292 data from Riess et al. in Astrophys. J. 607:665, 2004; Astrophys. J. 659:98, 2007; Astier et al. in Astron. Astrophys. 447:31, 2006), we have concluded that our model is in agreement with the Supernovae Type Ia sample data. In addition, we have investigated in details about the various types of Future Singularities that may be formed in this model and it is notable that our model is completely free from any types of future singularities.
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Acknowledgements
The authors are thankful to IUCAA, Pune, India for warm hospitality where part of the work was carried out. The author (UD) is thankful to CSIR, Govt. of India for providing research project grant (No. 03(1206)/12/EMR-II).
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Ranjit, C., Debnath, U. Constraining parameters of generalized cosmic Chaplygin gas in loop quantum cosmology. Astrophys Space Sci 354, 651–665 (2014). https://doi.org/10.1007/s10509-014-2126-1
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DOI: https://doi.org/10.1007/s10509-014-2126-1