Asymptotically hyperbolic Einstein constraint equations with apparent horizon boundary and the Penrose inequality for perturbations of Schwarzschild-AdS *

被引：0

作者：

Khuri, Marcus ^{[1
]}

Kopinski, Jaroslaw ^{[2
]}

机构：

[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

[2] Polish Acad Sci, Ctr Theoret Phys, Warsaw, Poland

来源：

CLASSICAL AND QUANTUM GRAVITY | 2023年 / 40卷 / 04期

基金：

美国国家科学基金会;

关键词：

Penrose Inequality; constraint equations; asymptotically hyperbolic; MEAN-CURVATURE FLOW; INITIAL DATA; MASS; SPACES;

D O I：

10.1088/1361-6382/acb24b

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：25

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