标题： 在暗物质晕中支持的拓扑变形虫洞的演化 显示英文标题

标题： Evolving topologically deformed wormholes supported in the dark matter halo

摘要： 在本文中，我们在暗物质晕中构建了一个演化的虫洞。这项工作是相关的，因为物质有两个组成部分：(i) 宇宙部分（仅随时间变化）和 (ii) 虫洞部分（仅随空间变化）。为了实现这一点，我们使用 Chaplygin 气体作为宇宙部分的状态方程，并使用 Navarro-Frenk-White 暗物质密度分布以及 Thomas-Fermi (TF) 分布来形成一个暗虫洞。虫洞的张开条件也通过某些特定值的量违反了零能量条件 (NEC) 得以满足。此外，我们揭示了更多有趣的结果，关于拓扑变形参数$\alpha$如何影响基于物理动机形状函数的某些暗物质模型所源起的演化虫洞。 显示英文摘要

摘要： In this paper, we construct an evolving wormhole in the dark matter halo. This work is relevant since matter has two components: (i) cosmological part (only time-dependent) and (ii) wormhole part (only space-dependent). In order to implement this, we use the Chaplygin gas as an equation of state for the cosmic part and Navarro-Frenk-White dark matter density profile as well as Thomas-Fermi (TF) profile in order to form a dark wormhole. The flare-out condition of wormhole is also satisfied by violating the null energy condition (NEC) for some specific values of quantities. Furthermore, we reveal more interesting results regarding how an topologically deformation parameter $\alpha$ affects the evolving wormhole sourced with some dark matter models based on the physically motivated shape function.