In the present paper, we investigate some exact cosmological models in Myrzakulov $F(R,T)$ gravity theory. We have considered the arbitrary function $F(R, T)=R+λT$ where $λ$ 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 $1-σ, 2-σ, 3-σ$ 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 $z_{t}=0.4438_{-0.790}^{+0.1008}, 0.3651_{-0.0904}^{+0.1644}$. The effective dark energy equation of state varies as $-1\leω_{de}\le-0.5176$ 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.
本文回顾了Myrzakulov引力模型（MG-N，with $\mathrm{N = I, II, \ldots, VIII}$），导出了它们各自的度量仿射推广（MAMG-N），并讨论了它们的特殊子情形。以度规张量和广义仿射联络为自变量，得到了理论的场方程。然后，我们专注于上述度量仿射模型的功能是线性的情况下，并考虑弗里德曼-Lemaintre-Robertson-Walker背景研究宇宙学方面和应用。
Averaging of the Equations of the Standard Cosmological Model over Rapid Oscillations: Influence of the cosmological term on the mean value of the effective barotropic coefficient
Cosmological FLRW phase transitions under exponential corrected entropy
Pontificia Universidad Católica de Chile（智利天主教 Pontificia 大学）；Pontificia Universidad Católica de Valparaíso（瓦尔帕莱索天主教 Pontificia 大学）；Universidad de La Frontera（拉弗龙特拉大学）
Dynamical Equilibrium States of a Class of Irrotational Non-Orthogonally Transitive $G_{2}$ Cosmologies I: The Conjecture of Chaotic Cosmological Inhomogeneity
