Trapping of waves and null geodesics for rotating black holes
Name
Dyatlov-2013-Trapping of waves.pdf
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526.46 KB
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Author(s)
Zworski, M.
Dyatlov, Semyon
Date Issued
October 2013
Journal
Physical Review D
Publisher
American Physical Society
Citation
Dyatlov, S., and M. Zworski. “Trapping of waves and null geodesics for rotating black holes.” Physical Review D 88, no. 8 (October 2013). © 2013 American Physical Society
Version
Final published version
Abstract
We present dynamical properties of linear waves and null geodesics valid for Kerr and Kerr–de Sitter black holes and their stationary perturbations. The two are intimately linked by the geometric optics approximation. For the null geodesic flow the key property is the r-normal hyperbolicity of the trapped set and for linear waves it is the distribution of quasinormal modes: the exact quantization conditions do not hold for perturbations but the bounds on decay rates and the statistics of frequencies are still valid.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.88.084037
