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Preprints, Working Papers, ... Year : 2017

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

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.

Dates and versions

hal-01627149 , version 1 (31-10-2017)

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Piotr T. Chruściel, Erwann Delay, Paul Klinger. On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics. 2017. ⟨hal-01627149⟩
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