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

Erwann Delay; Paul Klinger; Piotr T. Chru\'sciel

arxiv: 1710.07597 · v2 · pith:VEWPQRF7new · submitted 2017-10-20 · 🌀 gr-qc · hep-th· math.DG

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

Piotr T. Chru\'sciel , Erwann Delay , Paul Klinger This is my paper

classification 🌀 gr-qc hep-thmath.DG

keywords metricsmassriemannianschwarzschild-antisittercriticaldimension-einstein

0 comments

read the original 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.

This paper has not been read by Pith yet.

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

discussion (0)