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

Time: Thu 2019-10-10 10.00 - 11.00

Lecturer: 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.

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