标题： 一种与模型无关的方法，在Weyl型$f(Q,T)$引力中穿越幻影分割线 显示英文标题

标题： A model-independent method with phantom divide line crossing in Weyl-type $f(Q,T)$ gravity

摘要： 我们使用对称平行引力的扩展来研究宇宙的历史，即威尔类型$f(Q,T)$引力，其中$Q$表示时空在标准威尔回形式下的非度规标量，由威尔矢量$w_{\mu }$完全确定，而$T$表示物质能量动量张量的迹。 We derive the Hubble parameter from the proposed form of the time-dependent deceleration parameter $q=A-% \frac{B}{H^{2}}$, where $A$ and $B$ are free constants and then use a model-independent method to apply it to the Friedmann equations of Weyl-type $f(Q,T)$ gravity. Further, we determine the best fit values of the model parameters using new Hubble sets of data of 31 points and Type Ia Supernovae (SNe Ia) sets of data of 1048 points. Finally, we examine the behavior of the effective equation of state~(EoS)~parameter and we observe that the best fit values of the model parameters supports a crossing of the phantom divide line i.e. $\omega _{eff}=-1$ from $\omega _{eff}>-1$ (quintessence phase) to $\omega _{eff}<-1$ (phantom phase). 根据当前研究，Weyl型$f(Q,T)$引力可以在解决现有的宇宙加速膨胀问题中提供一种暗能量（DE）的替代方案。 显示英文摘要

摘要： We investigate the history of the cosmos using an extension of symmetric teleparallel gravity, namely Weyl-type $f(Q,T)$ gravity, where $Q$ represents the non-metricity scalar of space-time in the standard Weyl form, completely specified by the Weyl vector $w_{\mu }$, and $T$ represents the trace of the matter energy-momentum tensor. We derive the Hubble parameter from the proposed form of the time-dependent deceleration parameter $q=A-% \frac{B}{H^{2}}$, where $A$ and $B$ are free constants and then use a model-independent method to apply it to the Friedmann equations of Weyl-type $f(Q,T)$ gravity. Further, we determine the best fit values of the model parameters using new Hubble sets of data of 31 points and Type Ia Supernovae (SNe Ia) sets of data of 1048 points. Finally, we examine the behavior of the effective equation of state~(EoS)~parameter and we observe that the best fit values of the model parameters supports a crossing of the phantom divide line i.e. $\omega _{eff}=-1$ from $\omega _{eff}>-1$ (quintessence phase) to $\omega _{eff}<-1$ (phantom phase). According to the current study, Weyl-type $f(Q,T)$ gravity can give an alternative to dark energy (DE) in solving the existing cosmic acceleration.