Contents Online
Mathematical Research Letters
Volume 18 (2011)
Number 5
Exponential Energy Decay for Kerr–de Sitter Black Holes Beyond Event Horizons
Pages: 1023 – 1035
DOI: https://dx.doi.org/10.4310/MRL.2011.v18.n5.a19
Author
Abstract
We establish an exponential decay estimate for linear waves on the Kerr–de Sitter slowly rotating black hole. Combining the cutoff resolvent estimate of [10] with the red-shift effect and a parametrix near the event horizons, we obtain exponential decay on the whole domain of outer communications.
Published 28 October 2011