论文标题
通过非线性潜在理论的里曼尼亚人不平等
Riemannian Penrose inequality via Nonlinear Potential Theory
论文作者
论文摘要
我们提供了Riemannian Penrose不平等的新证明，用于带有单个黑洞地平线的时间对称渐近平坦的初始数据。该证明是通过在$ p $ p $ - 支付潜力的级别集合中进行的新建立的单调性公式进行的，在任何渐近平坦的$ 3 $ manifold中，具有非负标态曲率。
We provide a new proof of the Riemannian Penrose inequality for time-symmetric asymptotically flat initial data with a single black-hole horizon. The proof proceeds through a newly established monotonicity formula holding along the level sets of the $p$-capacitary potential of the horizon boundary, in any asymptotically flat $3$-manifold with nonnegative scalar curvature.
