Mathematical Research Letters
Volume 18 (2011)
Exponential Energy Decay for Kerr–de Sitter Black Holes Beyond Event Horizons
Pages: 1023 – 1035
We establish an exponential decay estimate for linear waves on the Kerr–de Sitter slowly rotating black hole. Combining the cutoff resolvent estimate of  with the red-shift effect and a parametrix near the event horizons, we obtain exponential decay on the whole domain of outer communications.