Abstract:
In the present paper, we investigate some exact
cosmological models in F(R, T¯) gravity theory. We have
considered the arbitrary function F(R, T¯) = R + λT¯ where
λ is an arbitrary constant, R, T¯ are respectively, the Ricciscalar 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 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+0.1008 −0.0790, 0.3651+0.1644 −0.0904. The effective dark energy equation of state varies as −1 ≤ ωde ≤
−0.5176 and the present age of the universe is found as
t0 = 13.8486+0.1005 −0.0640, 12.0135+0.6206 −0.2743 Gyrs, respectively for
two datasets.
