AI 中文总结
本研究构建尺度依赖引力中类奥本海默-斯奈德带电坍缩模型，发现电荷将解分为三类区域，定性改变坍缩的奇点与视界结构，为负极点区域的视界屏蔽提供模型证据。
AI 中文摘要
我们通过在类时薄壳处匹配空间平坦的FLRW内部与带电荷的尺度依赖外部，构建了尺度依赖引力中类奥本海默-斯奈德（Oppenheimer-Snyder）的带电坍缩模型。电荷被限制在恒星表面，保持了内部的均匀性与各向同性。外部几何由符合Bianchi恒等式的唯象有效源支撑，而壳层动力学由Israel-Maxwell连接条件导出。正压表面状态方程闭合了壳层系统，其中带电尘埃壳是最简实现形式。\n对于负的尺度依赖参数$\tildeω<0$，外部存在一个由$D(x_s)=0$定义的有限半径边界$x_s$。电荷将解分为三种区域。当$0\le q^2<x_s$时，时移函数在曲率奇点处出现负极点，物理外部包含一个外视界，一个典型的单调坍缩过程在到达$x_s$前穿过该视界；没有指向未来的局部外向径向零测地线分支从奇异边界产生。当$q^2=x_s$时，分子与分母同时为零抵消了曲率极点，尽管规定的跑动耦合仍保持奇异性。当$q^2>x_s$时，曲率奇点以正极点形式持续存在，且存在局部外向径向零测地线分支。根据物理极端条件$x_e>x_s$，外部可能包含两个简单视界、一个简并视界或不存在视界。这些结果表明，电荷从定性上改变了尺度依赖坍缩的奇点与视界结构，并为负极点区域的视界屏蔽提供了模型层面的证据。
英文摘要
We construct a charged Oppenheimer-Snyder-like collapse model in scale-dependent gravity by matching a spatially flat FLRW interior to a charged scale-dependent exterior across a timelike thin shell. The electric charge is confined to the stellar surface, preserving interior homogeneity and isotropy. The exterior geometry is supported by a phenomenological Bianchi-consistent effective source, while the shell dynamics follow from the Israel-Maxwell junction conditions. A barotropic surface equation of state closes the shell system, with a charged-dust shell as the minimal realization. For a negative scale-dependent parameter, $\tildeω<0$, the exterior contains a finite-radius boundary $x_s$ defined by $D(x_s)=0$. Charge separates the solutions into three regimes. For $0\le q^2<x_s$, the lapse develops a negative pole at a curvature singularity, the physical exterior contains one outer horizon, and a representative monotonic collapse crosses this horizon before reaching $x_s$; no future-directed locally outgoing radial null branch emerges from the singular boundary. At $q^2=x_s$, simultaneous zeros of the numerator and denominator cancel the curvature pole, although the prescribed running coupling remains singular. For $q^2>x_s$, the curvature singularity persists with a positive pole and locally outgoing radial null branches exist. Depending on the physical extremality condition $x_e>x_s$, the exterior may contain two simple horizons, one degenerate horizon, or no horizon. These results show that charge qualitatively changes the singular and horizon structure of scale-dependent collapse and provide model-level evidence for horizon shielding in the negative-pole regime.
