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

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arxiv 1710.07597 v2 pith:VEWPQRF7 submitted 2017-10-20 gr-qc hep-thmath.DG

Piotr T. Chruściel , Erwann Delay , Paul Klinger This is my paper · ORCID
classification gr-qchep-thmath.DG
keywords metricsmassriemannianschwarzschild-antisittercriticaldimension-einstein
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abstract

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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