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

Author(s)
Piotr T. Chruściel, Erwann Delay, Paul Klinger
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.

Organisation(s)
Gravitational Physics
External organisation(s)
Erwin Schrödinger Institut, Laboratoire de Mathématiques d’Avignon
Journal
Advances in Theoretical and Mathematical Physics
Volume
23
Pages
1215-1269
No. of pages
55
ISSN
1095-0761
DOI
https://doi.org/10.4310/ATMP.2019.v23.n5.a2
Publication date
2019
Peer reviewed
Yes
Austrian Fields of Science 2012
101006 Differential geometry, 103028 Theory of relativity
Keywords
ASJC Scopus subject areas
Physics and Astronomy(all), Mathematics(all)
Portal url
https://ucris.univie.ac.at/portal/en/publications/on-nondegeneracy-of-riemannian-schwarzschildanti-de-sitter-metrics(ed9aee99-0435-49a0-8478-433aee75cbdc).html