标题： 银河晕中由暗物质模型支持的虫洞形成以及在$f(Q)$引力中的全局单极子荷 显示英文标题

标题： Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within $f(Q)$ gravity

摘要： 本文讨论了银河区域中由暗物质（DM）模型以及 $f(Q)$ 引力背景下的全局单极子荷支持的可穿越虫洞的可能性。 为了理解虫洞的特性，我们在不同的 $f(Q)$ 模型下全面研究了具有各种红移函数的虫洞解。 我们得到了线性 $f(Q)$ 引力下伪等温（PI）和 Navarro-Frenk-White（NFW）暗物质分布的虫洞形状函数。 相比之下，我们采用了嵌入类 I 方法来研究非线性 $f(Q)$ 模型中的虫洞。 我们注意到，对于每种暗物质分布，在渐近背景下所获得的形状函数满足膨出条件。 此外，我们检查了虫洞喉部半径为 $r_0$ 时的能量条件，并注意到全局单极子参数 $\eta$ 对能量条件（尤其是零能条件）违反的影响。 此外，对于非线性情况，我们观察到在嵌入类I方法下， wormhole 解不存在于$f(Q)=Q+mQ^n$、$f(Q)=Q+\frac{\beta}{Q}$和$f(Q)=\alpha_1+\beta_1 \log(Q)$中。最后，我们通过体积积分量化技术研究了线性$f(Q)$模型中的异物质积聚量，并确认需要少量的异物质来维持可穿越的 wormhole。 显示英文摘要

摘要： This paper discusses the possibility of traversable wormholes in the galactic region supported by dark matter (DM) models and global monopole charge in the context of $f(Q)$ gravity. To understand the features of the wormholes, we comprehensively studied wormhole solutions with various redshift functions under different $f(Q)$ models. We obtained wormhole shape functions for Pseudo Isothermal (PI) and Navarro-Frenk-White (NFW) DM profiles under linear $f(Q)$ gravity. In contrast, we employed an embedding class I approach for the non-linear $f(Q)$ models to investigate wormholes. We noticed that our obtained shape functions satisfy the flare-out conditions under an asymptotic background for each DM profile. Moreover, we checked the energy conditions at the wormhole throat with a radius $r_0$ and noticed the influences of the global monopole's parameter $\eta$ in the violation of energy conditions, especially null energy conditions. Further, for the non-linear case, we observed that wormhole solutions could not exist for $f(Q)=Q+mQ^n$, $f(Q)=Q+\frac{\beta}{Q}$, and $f(Q)=\alpha_1+\beta_1 \log(Q)$ under embedding class I approach. Finally, we study the amount of exotic matter via the volume integral quantifier technique for the linear $f(Q)$ model, and we confirm that a small amount of exotic matter is required to sustain the traversable wormholes.