Non-minimal derivative coupling scalar field and bulk viscous dark energy

Abstract

Abstract Inspired by thermodynamical dissipative phenomena, we consider bulk viscosity for dark fluid in a spatially flat two-component Universe. Our viscous dark energy model represents phantom-crossing which avoids big-rip singularity. We propose a non-minimal derivative coupling scalar field with zero potential leading to accelerated expansion of the Universe in the framework of bulk viscous dark energy model. In this approach, the coupling constant, $$\kappa $$ κ , is related to viscosity coefficient, $$\gamma $$ γ , and the present dark energy density, $$\varOmega _\mathrm{DE}^0$$ Ω DE 0 . This coupling is bounded as $$\kappa \in [-1/9H_0^2(1-\varOmega _\mathrm{DE}^0), 0]$$ κ ∈ [ - 1 / 9 H 0 2 ( 1 - Ω DE 0 ) , 0 ] . We implement recent observational data sets including a joint light-curve analysis (JLA) for SNIa, gamma ray bursts (GRBs) for most luminous astrophysical objects at high redshifts, baryon acoustic oscillations (BAO) from different surveys, Hubble parameter from HST project, Planck CMB power spectrum and lensing to constrain model free parameters. The joint analysis of JLA $$+$$ + GRBs $$+$$ + BAO $$+$$ + HST shows that $$\varOmega _\mathrm{DE}^0=0.696\pm 0.010$$ Ω DE 0 = 0.696 ± 0.010 , $$\gamma =0.1404\pm 0.0014$$ γ = 0.1404 ± 0.0014 and $$H_0=68.1\pm 1.3$$ H 0 = 68.1 ± 1.3 . Planck TT observation provides $$\gamma =0.32^{+0.31}_{-0.26}$$ γ = 0 . 32 - 0.26 + 0.31 in the $$68\%$$ 68 % confidence limit for the viscosity coefficient. The cosmographic distance ratio indicates that current observed data prefer to increase bulk viscosity. The competition between phantom and quintessence behavior of the viscous dark energy model can accommodate cosmological old objects reported as a sign of age crisis in the $$\varLambda $$ Λ CDM model. Finally, tension in the Hubble parameter is alleviated in this model.