Seminar

Mode stability for the Teukolsky equation on extremal Kerr black hole spacetimes

General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein

10 December 11:00 - 12:00

Rita Teixeira da Costa - University of Cambridge

We prove that there are no exponentially growing modes nor modes on the real axis for the Teukolsky equation on extremal Kerr black hole spacetimes. While the result was previously known for subextremal spacetimes, we argue that the proof for the latter does not hold in the extremal case as the nature of the event horizon changes radically in the extremal limit. Finally, we explain how mode stability could serve as a preliminary step towards understanding boundedness, scattering and decay properties of general solutions to the Teukolsky equation on extremal Kerr black holes.
Organizers
Lars Andersson
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Mattias Dahl
KTH Royal Institute of Technology
Philippe G. LeFloch
Sorbonne University
Richard Schoen
University of California, Irvine

Program
Contact

Mattias Dahl

dahl@kth.se

Other
information

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