Mathematical Research Letters

Volume 18 (2011)

Number 5

Exponential Energy Decay for Kerr–de Sitter Black Holes Beyond Event Horizons

Pages: 1023 – 1035

DOI: http://dx.doi.org/10.4310/MRL.2011.v18.n5.a19

Author

Semyon Dyatlov (Department of Mathematics, University of California at Evans Hall, Berkeley, CA 94720, USA)

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.

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