Transit cosmological models in F(R,T̄) gravity theory

In the present paper, we investigate some exact cosmological models in F(R,T̄) F ( R , T ¯ ) gravity theory. We have considered the arbitrary function F(R, T̄)=R+λ T̄ F ( R , T ¯ ) = R + λ T ¯ where λ λ is an arbitrary constant, R, T̄ R , T ¯ are respectively, the Ricci-scalar curvature and the torsion. We have solved the field equations in a flat FLRW spacetime manifold for Hubble parameter and using the MCMC analysis, we have estimated the best fit values of model parameters with 1-σ , 2-σ , 3-σ 1 - σ , 2 - σ , 3 - σ regions, for two observational datasets like H ( z ) and Pantheon SNe Ia datasets. Using these best fit values of model parameters, we have done the result analysis and discussion of the model. We have found a transit phase decelerating-accelerating universe model with transition redshifts zₜ=0.4438-0.0790+0.1008, 0.3651-0.0904+0.1644 z t = 0 . 4438 - 0.0790 + 0.1008 , 0 . 3651 - 0.0904 + 0.1644 . The effective dark energy equation of state varies as -1≤ ω de≤ -0.5176 - 1 ≤ ω de ≤ - 0.5176 and the present age of the universe is found as t₀=13.8486-0.0640+0.1005, 12.0135-0.2743+0.6206 t 0 = 13 . 8486 - 0.0640 + 0.1005 , 12 . 0135 - 0.2743 + 0.6206 Gyrs, respectively for two datasets.