Eur. Phys. J. C (2013) 73: 2424
https://doi.org/10.1140/epjc/s10052-013-2424-8

Regular Article - Theoretical Physics

Constraining redshift parametrization parameters of dark energy: loop quantum gravity as back ground

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

^* e-mail: biswas.ritabrata@gmail.com

Received: 27 February 2013
Revised: 12 April 2013
Published online: 8 May 2013

Abstract

We have assumed that the FRW universe filled with dark matter (perfect fluid with negligible pressure) along with dark energy in LQC gravity where three parameterizations have been proposed for the variations of EOS parameter ω(z) and they are Linear, CPL and JBP parameterizations. From Stern, Stern+BAO and Stern+BAO+CMB joint data analysis, we have obtained the bounds of the arbitrary parameters ω ₀ and ω ₁ by minimizing the χ ² test. The best-fit values and bounds of the parameters are obtained by 66 %, 90 % and 99 % confidence levels which are shown in (i) Figs. 1a, 1b, 1c for Stern data analysis, (ii) Figs. 2a, 2b, 2c for Stern+BAO joint data analysis and (iii) Figs. 3a, 3b, 3c for Stern+BAO+CMB joint data analysis for linear, CPL and JBP models. The distance modulus μ(z) against redshift z has been drawn in Figs. 4a, 4b, 4c for our predicted theoretical model of the three models for the best fit values of the parameters and the observed SNe Ia Union2 data sample and we have shown that our predicted theoretical three models permitted the observational data sets.