# Steffen Aksteiner: All local gauge invariants for black hole perturbation theory

**Time: **
Thu 2019-10-10 10.00 - 11.00

**Location: **
Seminar Hall Kuskvillan, Institut Mittag-Leffler

**Participating: **
Steffen Aksteiner, Max Planck Institute for Gravitational Physics (Albert Einstein Institute)

### Abstract

Gauge invariant quantities play a fundamental role in the analysis of the linearized Einstein equations. After reviewing some classical results in black hole perturbation theory, we present a complete set of local gauge invariants for the Kerr geometry. The proof of completeness is based on the construction of a compatibility complex for the Killing operator. This is joint work with Lars Andersson, Thomas Bäckdahl, Igor Khavkine and Bernard Whiting.