FRW dark energy cosmological model with hybrid expansion law

• Published in: New astronomy 2019-11, Vol.73, p.101284, Article 101284
• Main Authors: Goswami, G.K., Pradhan, Anirudh, Mishra, Meena, Beesham, A.
• Format: Article
• Language: English
• Subjects: Accelerating universe; FRW universe; Observational parameters; SNe Ia data
• ISSN: 1384-1076; 1384-1092
• DOI: 10.1016/j.newast.2019.101284

•The expansion of the universe is governed by Hybrid expansion law•This describes deceleration to acceleration transition.•Our model agrees with latest observational findings due to the Planck.•Our model has variable equation of states for dark energy density.•We have obtained distance modulus and compared it with union 2.1 data set. In this work, we study a cosmological model of spatially homogeneous and isotropic accelerating universe which exhibits a transition from deceleration to acceleration. For this, Friedmann Robertson Walker(FRW) metric is taken and Hybrid expansion law a(t)=tαexp(βt) is proposed and derived. We consider the universe to be filled with two types of fluids barotropic and dark energy which have variable equations of state. The evolution of dark energy, Hubble, and deceleration parameters etc., have been described in the form of tables and figures. We consider 581 data’s of observed values of distance modulus of various SNe Ia type supernovae from union 2.1 compilation to compare our theoretical results with observations and found that model satisfies current observational constraints. We have also calculated the time and redshift at which acceleration in the Universe had commenced.