标题： 时空在$f(Q)$引力中的各向异性特性 显示英文标题

标题： Anisotropic nature of space-time in $f(Q)$ gravity

摘要： 在本文中，我们考虑了 Bianchi 类型-I 的时空，其中完美流体作为宇宙的物质内容，在 Jiménez 等人最近提出的$f(Q)$引力框架中（其中$% Q$是非度规标量）（Phys. Rev. D 98.4 (2018): 044048）。我们利用时空的各向异性特性，求解了场方程，以进行体积混合膨胀。讨论并比较了非度规标量的线性形式即$f\left( Q\right) =\alpha Q+\beta $的宇宙学参数（其中$\alpha $和$\beta $是自由模型参数）与最近的哈勃测量结果。 此外，我们通过使用包含57个数据点的更新哈勃数据集（$31$（DA）和$26$（BAO+其他））对我们的模型进行约束，获得了模型参数$k, n$和$H_{0}$的最佳拟合值，并还检查了模型的稳定性，并通过能量条件检验了其有效性。 显示英文摘要

摘要： In this paper, we consider the Bianchi type-I space-time with perfect fluid as matter content of the Universe in the framework of $f(Q)$ gravity (where $% Q$ is the non-metricity scalar) recently proposed by Jim\'{e}nez et al. (Phys. Rev. D 98.4 (2018): 044048). We find exact solutions of the field equations using the anisotropic property of space-time for volumetric hybrid expansion. The cosmological parameters for the linear form of non-metricity scalar i.e. $f\left( Q\right) =\alpha Q+\beta $ (where $\alpha $ and $\beta $ are free model parameters) are discussed and compared with recent Hubble measurements. Also, we have obtained the best fitting values of the model parameters $k, n$ and $H_{0}$ by constraining our model with updated Hubble datasets consisting of 57 data points ($31$ (DA) and $26$ (BAO+other)) along with also examined the stability of the model and test its validity by energy conditions.