A lower bound for the mass of axisymmetric connected black hole data sets

被引：8

作者：

Chrusciel, Piotr T. ^{[1
]}

Luc Nguyen ^{[2
]}

机构：

[1] Univ Vienna, Vienna, Austria

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

CLASSICAL AND QUANTUM GRAVITY | 2011年 / 28卷 / 12期

基金：

英国工程与自然科学研究理事会;

关键词：

RIEMANNIAN PENROSE INEQUALITY; POSITIVE MASS;

D O I：

10.1088/0264-9381/28/12/125001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a generalization of the Brill-type proof of positivity of mass for axisymmetric initial data to initial data sets with black hole boundaries. The argument leads to a strictly positive lower bound for the mass of simply connected and connected axisymmetric black hole data sets in terms of the mass of a reference Schwarzschild metric.

引用

页数：19

共 17 条

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[2]

[Anonymous], 1998, ANAL REELLE COMPLEXE

[3]

[Anonymous], 1992, GRUNDLEHREN MATH WIS

[4] THE MASS OF AN ASYMPTOTICALLY FLAT MANIFOLD [J].