Exponential energy decay for Kerr-de Sitter black holes beyond event horizons

Details Exponential energy decay for Kerr-de Sitter black holes beyond event horizons Exponential energy decay for Kerr-de Sitter black holes beyond event horizons

2010-10-25

arxiv.org/abs/1010.5201v2

Math. Res. Lett. 18:5(2011), 1023-1035

Mathematics

Analysis of PDEs

14 pages; minor changes made and references added

Scientific paper

We establish an exponential decay estimate for linear waves on the Kerr-de
Sitter slowly rotating black hole. Combining the cutoff resolvent estimate of
arXiv:1003.6128 with the red-shift effect and a parametrix near the event
horizons, we obtain exponential decay on the whole space.

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