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arXiv · 1710.07597

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

Piotr T. Chruściel·Erwann Delay·Paul Klinger
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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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Piotr T. Chruściel, Erwann Delay, Paul Klinger. 2017-10-20. On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics. https://arxiv.org/abs/1710.07597

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