AI 中文总结
本研究在真空广义相对论中提出边界几何驱动的临界外 trapped 曲面形成机制，通过全局几何效应实现纯真空下的 MOTS 形成，无需引力辐射短脉冲集中机制。
AI 中文摘要
我们在真空广义相对论中识别出一种边界几何驱动的动力学形成临界外 trapped 曲面（MOTSs）的机制。紧凑柯西域内的温和三维各向异性演化，其有效各向同性厚度保持可控，而广义边界平均曲率在边界收缩或膨胀演化期间均可升高，这会驱动边界跨越 Yau 的几何阈值，迫使初始非 trapped 数据形成 MOTS。我们进一步将文献[MondalYau2026]的特征剪切构造解释为同一各向异性真空动力学的零能表现。该结果提供了一种纯真空物理的 MOTS 形成实现方式，通过全局几何效应，无需借助引力辐射的短脉冲集中机制。
英文摘要
We identify a boundary-geometry-driven mechanism for the dynamical formation of marginally outer trapped surfaces (MOTSs) in vacuum general relativity. Mild three-dimensional anisotropies evolve inside a compact Cauchy domain whose effective isotropic thickness remains controlled, while the generalized boundary mean curvature can increase during either contracting or expanding boundary evolution. This drives the boundary across Yau's geometric threshold, forcing MOTS formation from initially untrapped data. We further interpret the characteristic shear construction of Ref.~\cite{MondalYau2026} as the null manifestation of the same anisotropic vacuum dynamics. The result provides a purely vacuum physical realization of MOTS formation through global geometric effects, without invoking a short-pulse concentration mechanism for gravitational radiation.
Commentscomments welcome
