Exponential energy decay for Kerr-de Sitter black holes beyond event horizons
Analysis of PDEs
2012-01-19 v2
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 arXiv:1003.6128 with the red-shift effect and a parametrix near the event horizons, we obtain exponential decay on the whole space.
Keywords
Cite
@article{arxiv.1010.5201,
title = {Exponential energy decay for Kerr-de Sitter black holes beyond event horizons},
author = {Semyon Dyatlov},
journal= {arXiv preprint arXiv:1010.5201},
year = {2012}
}
Comments
14 pages; minor changes made and references added