标题： 精确宇宙学在Myrzakulov引力中 显示英文标题

标题： Exact Cosmology in Myrzakulov Gravity

摘要： 在本文中，我们使用平坦的弗里德曼-勒梅特-罗伯逊-沃尔克（FLRW）时空度规，研究了一些在Myrzakulov引力中的精确宇宙学模型。我们考虑了修正的拉格朗日函数为$F(R,T)=R+\lambda T$，其中$R, T$分别是相对于非特殊连接的曲率标量和挠率标量，$\lambda$是一个模型参数。我们在尺度因子$a(t)$的两种不同情况下获得了两个精确解。利用这个尺度因子，我们得到了各种几何参数以研究宇宙的宇宙学性质。我们通过两种最新观测数据集如$H(z)$和Pantheon Ia型超新星样本的MCMC分析，获得了模型参数的最佳拟合值，其中包含$1-\sigma, 2-\sigma$与$3-\sigma$区域。我们对几何参数和宇宙学参数进行了比较和相对论研究。 在模型-I中，我们发现有效状态方程（EoS）参数$\omega_{eff}$的变化范围为$-1\le\omega_{eff}\le0$，而在模型-II中，其变化为$-1.031\le\omega_{eff}\le0$。我们发现这两个模型都是过渡阶段（减速到加速）的宇宙，过渡红移范围为$0.6<z_{t}<0.8$，宇宙的目前年龄为$t_{0}\approx13.5$Gyrs。 显示英文摘要

摘要： In this paper, we have investigated some exact cosmological models in Myrzakulov gravity using a flat Friedmann-Lematre-Robertson-Walker (FLRW) spacetime metric. We have considered the modified Lagrangian function as $F(R,T)=R+\lambda T$, where $R, T$ are respectively the Ricci curvature scalar and the torsion scalar with respect to non-special connection, and $\lambda$ is a model parameter. We have obtained two exact solutions in two different situations for the scale factor $a(t)$. Using this scale factor, we have obtained various geometrical parameters to investigate cosmological properties of the universe. We have obtained the best fit values of model parameters through the MCMC analysis of two types latest observational datasets like $H(z)$ and Pantheon SNe Ia samples, with $1-\sigma, 2-\sigma$ \& $3-\sigma$ regions. We have performed a comparative and relativistic study of geometrical and cosmological parameters. In model-I, we have found that the effective equation of state (EoS) parameter $\omega_{eff}$ varies in the range $-1\le\omega_{eff}\le0$ while in the model-II, it varies as $-1.031\le\omega_{eff}\le0$. We have found that both models are transit phase (decelerating to accelerating) universe with transition redshift in the range $0.6<z_{t}<0.8$ and present age of the universe $t_{0}\approx13.5$ Gyrs.