极大渐近双曲初始数据的 Penrose 不等式
The Penrose inequality for maximal asymptotically hyperbolic initial data
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具体内容
该稿件证明三维极大渐近双曲初始数据在球面共形无穷远下的尖锐 Penrose 不等式。在主导能量条件、所述衰减与可积性假设以及未来类时质量余向量条件下，作者声称不变量质量下界由弱未来外陷边界的最小包围面积对应的 Schwarzschild–anti-de Sitter 质量给出。边界可以非连通，且对紧拓扑不加限制。
- 证明球面共形无穷远下三维极大渐近双曲初始数据的尖锐 Penrose 不等式。
- 质量下界由弱未来外陷边界最小包围面积对应的 Schwarzschild–anti-de Sitter 质量给出。
- 边界可非连通，紧拓扑不受限制。
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英文原始摘要
We prove the sharp Penrose inequality for three-dimensional maximal asymptotically hyperbolic initial data with spherical conformal infinity. Under the dominant energy condition, the stated decay and integrability assumptions, and a future-timelike mass covector, the invariant mass is bounded below by the Schwarzschild–anti-de Sitter mass associated with the minimum enclosing area of a weakly future outer-trapped boundary. The boundary may be disconnected, and no restriction is imposed on the compact topology.
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