Non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics: Birkhoff-type results in linearized gravity

Autor(en)

Paul Klinger

Abstrakt

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(en)

Gravitationsphysik

Anzahl der Seiten

12

DOI

https://doi.org/10.48550/arXiv.1806.05023

Publikationsdatum

06-2018

ÖFOS 2012

103028 Relativitätstheorie

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/392f96ef-9990-44af-bec6-1650e484f253