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On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics
Advances in Theoretical and Mathematical Physics ( IF 1.0 ) Pub Date : 2019-01-01 , DOI: 10.4310/atmp.2019.v23.n5.a2 Piotr T. Chruściel 1 , Erwann Delay 2 , Paul Klinger 1
Advances in Theoretical and Mathematical Physics ( IF 1.0 ) Pub Date : 2019-01-01 , DOI: 10.4310/atmp.2019.v23.n5.a2 Piotr T. Chruściel 1 , Erwann Delay 2 , Paul Klinger 1
Affiliation
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.
中文翻译:
关于黎曼 Schwarzschild-anti de Sitter 度量的非简并性
我们证明 $TT$-gauge-fixed 线性化爱因斯坦算子对于 Riemannian Kottler(“Schwarzschild-anti de Sitter”)度量是非退化的,其质量参数范围与尺寸和拓扑相关。我们提供的证据表明,除了具有临界质量的球形指标外,所有此类指标仍然如此。
更新日期:2019-01-01
中文翻译:
关于黎曼 Schwarzschild-anti de Sitter 度量的非简并性
我们证明 $TT$-gauge-fixed 线性化爱因斯坦算子对于 Riemannian Kottler(“Schwarzschild-anti de Sitter”)度量是非退化的,其质量参数范围与尺寸和拓扑相关。我们提供的证据表明,除了具有临界质量的球形指标外,所有此类指标仍然如此。