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Constraining the Parameters of New Variable Modified Chaplygin Gas Model

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Abstract

Assuming the flat FRW universe in Einstein’s gravity filled with New Variable Modified Chaplygin gas (NVMCG) dark energy and dark matter having negligible pressure. In this research work we analyze the viability on the basis of recent observation. Hubble parameter H is expressed in terms of the observable parameters H 0, \(\varOmega_{m}^{0}\) and the model parameters A 0, B 0, C 0, m, n, α and the red shift parameter z. Here we find a best fitted parameter range of A 0, B 0 keeping 0≤α≤1 and using Stern data set (12 points) by minimizing the χ 2 test at 66 %, 90 % and 99 % confidence levels. Next we do the joint analysis with BAO and CMB observations. Again evaluating the distance modulus μ(z) vs redshift (z) curve obtained in the model NVMCG with dark matter with the best fitted value of the parameters and comparing with that derived from the Union2 compilation data.

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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 also thankful to Institute of Theoretical Physics, Chinese Academy of Science, Beijing, China for providing TWAS Associateship Programme under which the work was completed. Also UD is thankful to CSIR, Govt. of India for providing research project grant (No. 03(1206)/12/EMR-II).

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Authors and Affiliations

  1. Department of Mathematics, Heritage Institute of Technology, Anandapur, Kolkata, 700 107, India

    Jhumpa Bhadra

  2. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711 103, India

    Ujjal Debnath

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  1. Jhumpa Bhadra
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  2. Ujjal Debnath
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Correspondence to Ujjal Debnath.

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Bhadra, J., Debnath, U. Constraining the Parameters of New Variable Modified Chaplygin Gas Model. Int J Theor Phys 53, 1821–1831 (2014). https://doi.org/10.1007/s10773-013-1982-8

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