Einasto暗物质虫洞的动力学结构：薄壳稳定性与粒子跃迁
Dynamical Structure of Einasto Dark Matter Wormholes: Thin-Shell Stability and Particle Transitions
- Virtual University of Pakistan（巴基斯坦虚拟大学）
- Khazar University（哈扎尔大学）
- College of Transportation, Tongji University（同济大学交通运输学院）
- University of Tashkent for Applied Sciences（塔什干应用科学大学）
- National Research University TIIAME（塔什干国立研究所与管理经济大学）
- National University of Uzbekistan（乌兹别克斯坦国立大学）
- Kimyo International University in Tashkent（塔什干化学国际大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究基于Einasto暗物质轮廓构造可穿越虫洞，分析其稳定性与粒子动力学，发现单极荷参数调控有效势并引发粒子从束缚态到散射态的非线性跃迁。
AI中文摘要：
在本文中，我们利用Einasto暗物质轮廓构造解析形状函数，在爱因斯坦引力中发展了拓扑荷静态且球对称的虫洞（WH）构型。所得时空满足基本的可穿越条件，而物质扇区在喉部附近表现出局域化的能量条件违反，表明存在受限的奇异物质含量。我们通过TOV框架分析平衡，揭示了非平衡力竞争，其中流体静力学和各向异性贡献在特定参数域内自组织以维持静态构型。稳定性通过各向异性参数进行检验，并进一步扩展到对周围壳层的线性化径向扰动，发现了表征系统非线性响应的参数依赖稳定窗口。详细的动力学分析表明，单极荷参数显著重构有效势景观，改变曲率并诱导粒子运动的定性跃迁。单极荷、角动量和粒子能量之间的耦合相互作用支配着从紧密缠绕的准束缚态到无界散射轨迹的非线性跃迁。这一跃迁反映了虫洞时空中涌现的动力学相结构。此外，复杂度因子在喉部附近表现出强局域化并在渐近区域消失，表明结构复杂性局限于内部非线性区域，而体积积分量化器被用来估计维持该构型所需的总奇异物质含量。
英文摘要：
In this manuscript, we develop topologically charged static and spherically symmetric wormhole (WH) configurations in Einstein gravity by employing the Einasto dark matter profile to construct an analytic shape function. The resulting spacetime satisfies the fundamental traversability conditions, while the matter sector exhibits localized violations of energy conditions near the throat, indicating confined exotic matter content. We analyze equilibrium through the TOV framework, revealing a non-equilibrium force competition in which hydrostatic and anisotropic contributions self-organize to sustain static configurations within specific parameter domains. Stability is examined via the anisotropy parameter and further extended to linearized radial perturbations of the surrounding shell, uncovering parameter-dependent stability windows that characterize the system's nonlinear response. A detailed dynamical analysis shows that the monopole charge parameter significantly restructures the effective potential landscape, modifying curvature and inducing qualitative transitions in particle motion. The coupled interplay between monopole charge, angular momentum, and particle energy governs a nonlinear transition from tightly wound quasi-bound states to unbounded scattering trajectories. This transition reflects an emergent dynamical phase structure in the WH spacetime. Furthermore, the complexity factor exhibits strong localization near the throat and vanishes asymptotically, indicating that structural complexity is confined to the inner nonlinear regime, whereas a volume integral quantifier is employed to estimate the total exotic matter content required to sustain the configuration.
