Transit cosmological models in Myrzakulov F(R,T) gravity theory

In the present paper, we investigate some exact cosmological models in Myrzakulov $F(R,T)$ gravity theory. We have considered the arbitrary function $F(R,T)=R+\lambda T$ where $\lambda$ is an arbitrary constant, $R,T$ 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 $1-\sigma ,2-\sigma ,3-\sigma$ 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 $z_t=0.4438_{-0.790}^{+0.1008},0.3651_{-0.0904}^{+0.1644}$. The effective dark energy equation of state varies as $-1\le {\omega }_{de}\le -0.5176$ and the present age of the universe is found as $t_0=13.8486_{-0.0640}^{+0.1005},12.0135_{-0.2743}^{+0.6206}$ Gyrs, respectively for two datasets.