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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.
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Preprints, Working Papers, ...
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https://hal-univ-avignon.archives-ouvertes.fr/hal-01627149
Contributor : Erwann Delay <>
Submitted on : Tuesday, October 31, 2017 - 7:31:16 PM
Last modification on : Tuesday, January 14, 2020 - 10:38:15 AM

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  • HAL Id : hal-01627149, version 1
  • ARXIV : 1710.07597

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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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