论文标题
具有明显的地平线边界的渐近双曲线爱因斯坦约束方程和schwarzschild-ads扰动的不等式
Asymptotically Hyperbolic Einstein Constraint Equations with Apparent Horizon Boundary and the Penrose Inequality for Perturbations of Schwarzschild-AdS
论文作者
论文摘要
我们使用恒定的平均曲率共形方法证明了对带有正平均曲率的外部捕获边界的真空爱因斯坦约束方程的渐近双曲线溶液的存在。作为此结果的应用，我们验证了Schwarzschild Anti-De Sitter Black Black Hole初始数据的某些扰动的Penrose不等式。
We prove the existence of asymptotically hyperbolic solutions to the vacuum Einstein constraint equations with a marginally outer trapped boundary of positive mean curvature, using the constant mean curvature conformal method. As an application of this result, we verify the Penrose inequality for certain perturbations of Schwarzschild Anti-de Sitter black hole initial data.
