Accelerating scenarios of massive universe in [formula omitted]-gravity

Abstract

In this study, we have investigated accelerating scenarios of massive universe in a generalized f(R,Lm)-gravity with observational constrained, where R is Ricci scalar curvature and Lm is matter Lagrangian for perfect fluid. We have obtained the field equations using a flat Friedman–Lamatre–Robertson–Walker (FLRW) space–time metric with matter Lagrangian Lm=−p and f(R,Lm)=R2+αLmn−β where α, β&n are positive model parameters. We have solved field equations with constant equation of state (EoS) parameter ω defined by p=ωρ, where p is the isotropic pressure and ρ is the energy density of the perfect fluid. We have derived the Hubble parameter in terms of energy parameters Ωm0 and Ωβ0 and obtained the best fit curve of Hubble parameter with 46 H0 datasets over 0≤z≤2.36 for the best fit present values of Ωm0,Ωβ0,ω,n. We have discussed the result with recent cosmological observations and we have found a transition redshift zt=1.4129 with age of the present universe t0=14.2689 Gyrs. The present universe is found in accelerating phase with q0=−0.3891 and H0=64.75±5.334 Km/s/Mpc. Also, we have analyzed Om diagnostic parameter for our f(R,Lm)-gravity model.