On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics

被引：0

作者：

Chrusciel, Piotr T. ^{[1
,2
]}

Delay, Erwann ^{[2
,3
,4
]}

Klinger, Paul ^{[1
,2
]}

机构：

[1] Univ Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, Austria

[2] Univ Vienna, Erwin Schrodinger Inst, Boltzmanngasse 5, A-1090 Vienna, Austria

[3] Lab Math Avignon, F-84916 Avignon, France

[4] FRUMAM CNRS, Marseille, France

来源：

ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS | 2019年 / 23卷 / 05期

基金：

奥地利科学基金会;

关键词：

BLACK-HOLES; PERTURBATIONS;

D O I：

暂无

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We prove that the TT-gauge-fixed linearised Einstein operator is non-degenerate for Riemannian Kottler ("Schwarzschild-anti de Sitter") metrics with dimension- and topology-dependent ranges of mass parameter. We provide evidence that this remains true for all such metrics except the spherical ones with a critical mass.

引用

页码：1215 / 1269

页数：55

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