MOTS in Schwarzschild: multiple self-intersections and extreme mass ratio mergers

Quasi-Round MOTSs and Stability of the Schwarzschild Null Penrose Inequality

In recent work, the notion of Double Convexity for a foliation of a conical null hypersurface was introduced to give a proof, if satisfied, of the Null Penrose Inequality. Double Convexity constrains the geometry of a Marginally Outer Trapped Surface (MOTS), called a quasi-round MOTS. In the first part of this paper, for a class of strictly stable Weakly Isolated Horizons, we show the existence of a unique foliation by quasi-round MOTS. In the second part, we show that any subsequent space-time perturbation continues to admit a quasi-round MOTS. Finally, for perturbations of the quasi-round MO…

时空彭罗斯不等式：关于稳定MOTS和一般陷阱表面的条件结果

The Spacetime Penrose Inequality: Conditional Results for Stable MOTS and General Trapped Surfaces

本文通过严谨证明，展示了在满足特定条件下的时空彭罗斯不等式，以及对一般陷阱表面的条件性结果，揭示了ADM质量与陷阱表面面积之间的关系。

任意维度旋转时空中的奇异临界外困陷面

Exotic marginally outer trapped surfaces in rotating spacetimes of any dimension

本文将 MOTSodesic 方法推广至任意维度的（多）轴对称旋转时空，并用于分析 BTZ、Kerr 与 Myers-Perry 黑洞，发现了不同于 Schwarzschild 和 Reissner-Nordström 的新型 MOTS 行为。

The interior of a binary black hole merger

We find strong numerical evidence for a new phenomenon in a binary black hole spacetime, namely the merger of marginally outer trapped surfaces (MOTSs). By simulating the head-on collision of two non-spinning unequal mass black holes, we observe that the MOTS associated with the final black hole merges with the two initially disjoint surfaces corresponding to the two initial black holes. This yields a connected sequence of MOTSs interpolating between the initial and final state all the way through the non-linear binary black hole merger process. In addition, we show the existence of a MOTS wit…

黑洞时空中的边缘外俘获环面

Marginally Outer Trapped Tori in Black Hole Spacetimes

本文证明环面边缘外俘获面不仅出现在双黑洞并合早期，也会在 Schwarzschild 时空最大解析延拓中随 Kruskal 时间推进而形成，表明其产生源于初始条件而非并合物理，并进一步分析了 Kruskal-Szekeres 切片中球面拓扑 MOTSs 的性质。

边缘外俘获面的对称性与不稳定性

Symmetry and instability of marginally outer trapped surfaces

本文研究具有连续对称性的初始数据集中不被对称性保持的边缘外俘获面，证明其除例外情形外均不稳定，并给出非旋转情形下不稳定特征值数的 Courant 型下界，进而证明史瓦西时空中一大类奇异 MOTS 的不稳定性。