On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics
arXiv:1710.07597
Abstract
We prove that the -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.
40 pages, 2 figures, v2: minor updates and corrections