Observational Constraints of Red-shift Parametrization Parameters of Dark Energy in Horava-Lifshitz Gravity

Abstract

We have assumed that the FRW universe filled with baryonic matter, radiation and dark matter along with dark energy in the frame-work of Horava-Lifshitz gravity. Here three parameterizations like Linear, CPL and JBP for the dark energy have been assumed for the variations of EOS parameter w(z). The observational data analysis by χ2 minimum test have been analyzed for our models. From Stern, Stern+BAO and Stern+BAO+CMB joint data analysis, we have obtained the bounds of the arbitrary parameters w0 and w1. The best fit values of the parameters w0 and w1 for these three models and the minimum values of χ2 have been obtained by observational data analysis. Also the bounds of the parameters w0 and w1 are obtained by 66 %, 90 % and 99 % confidence levels for linear, CPL and JBP models. Next red shift-magnitude observational data points from type Ia supernovae have been considered and which contains 557 data points. From this observation, the distance modulus μ(z) against red shift z has been investigated for our predicted theoretical model (three DE models) for the best fit values of the parameters and the observed SNe Ia Union2 data sample. Finally, we have investigated that our predicted theoretical three models permitted the observational data sets.