Non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics: Birkhoff-type results in linearized gravity
- Author(s)
- Paul Klinger
- Abstract
We prove Birkhoff-type results showing that $L^2$ solutions of the linearized Einstein equations around Riemannian Kottler ("Schwarzschild-anti de Sitter") metrics in arbitrary dimension and horizon topology, which are not controlled by "master functions" are pure gauge. Together with earlier results this implies that the $TT$-gauge-fixed linearized Einstein operator for these metrics is non-degenerate for open ranges of the mass parameter.
- Organisation(s)
- Gravitational Physics
- No. of pages
- 12
- DOI
- https://doi.org/10.48550/arXiv.1806.05023
- Publication date
- 06-2018
- Austrian Fields of Science 2012
- 103028 Theory of relativity
- Keywords
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/nondegeneracy-of-riemannian-schwarzschildanti-de-sitter-metrics-birkhofftype-results-in-linearized-gravity(392f96ef-9990-44af-bec6-1650e484f253).html