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

被引:0
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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
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.
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页码:1215 / 1269
页数:55
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