Asymptotically hyperbolic Einstein constraint equations with apparent horizon boundary and the Penrose inequality for perturbations of Schwarzschild-AdS *
Asymptotically hyperbolic Einstein constraint equations with apparent horizon boundary and the Penrose inequality for perturbations of Schwarzschild-AdS *
复制标题
具有明显视界边界的渐近双曲爱因斯坦约束方程和 Schwarzschild-AdS 扰动的彭罗斯不等式 *
DOI：
10.1088/1361-6382/acb24b
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发表时间：
2023
影响因子：
3.5
通讯作者：
Kopiński, Jarosław
中科院分区：
文献类型：
--
作者：
Khuri, Marcus;Kopiński, Jarosław
利用常平均曲率保角方法，证明了具有正平均曲率的边缘外捕获边界的真空Einstein约束方程的渐近双曲解的存在性.作为这一结果的应用，我们对Schwarzschild Anti-de Sitter黑洞初始数据的某些扰动验证了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.