发表机构
Human-Centered Artificial Intelligence Research Institute, Ewha Womans University（人类中心人工智能研究所，梨花女子大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在三维时间对称带电初始数据中，沿常平均曲率叶状结构证明带电Hawking质量的一阶变分恒等式，并由此在局部极大性条件下恢复局部刚性结果。
AI 中文摘要
我们研究具有宇宙学常数的三维时间对称带电初始数据集中的严格稳定极小视界，并允许存在带电物质。沿着从视界出发、经过具有正Jacobi算子的叶片的常平均曲率叶状结构，我们证明了带电Hawking质量的一阶变分恒等式。当电荷密度符号与视界电荷相容时，Hawking质量非递减，且固定电荷质量两个边界值相等迫使整个环带等距于无源常曲率Reissner–Nordström–(反)de Sitter模型中的环面。由此我们在局部极大性条件下恢复了局部刚性结果。在极小端点处，进入这些恒等式的缺陷计算了沿归一化时移的固定电荷Hawking质量Hessian，其消失刻画了模型视界数据。
英文摘要
We study strictly stable minimal horizons in three-dimensional time-symmetric charged initial data sets with cosmological constant, allowing charged matter. Along the constant-mean-curvature foliation issuing from the horizon through leaves with positive Jacobi operator, we prove exact first-variation identities for the charged Hawking mass. When the charge density has one sign compatible with the horizon charge, Hawking masses are nondecreasing, and equality between the two boundary values of the fixed-charge mass forces the entire collar to be isometric to an annulus in a source-free constant-curvature Reissner--Nordström--(anti-)de Sitter model. From this we recover the local rigidity results under a local maximality condition. At the minimal endpoint the defect entering these identities computes the fixed-charge Hawking-mass Hessian along the normalized lapse, and its vanishing characterizes the model horizon data.
