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://ucrisportal.univie.ac.at/en/publications/on-nondegeneracy-of-riemannian-schwarzschildanti-de-sitter-metrics(ed9aee99-0435-49a0-8478-433aee75cbdc).html