Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime

Author(s)
Shlapentokh-Rothman, Yakov Mordechai
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Abstract
We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a| <  M). As an application, we are able to quantitatively control the energy flux along the horizon and null infinity and establish integrated local energy decay for solutions to the wave equation in any bounded-frequency regime. Keywords: Black Hole, Wave Equation, Half Plane, Quasinormal Mode, Mode Stability
Date issued
2014-01
URI
http://hdl.handle.net/1721.1/121094
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Annales Henri Poincaré
Publisher
Springer Basel
Citation
Shlapentokh-Rothman, Yakov. “Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime.” Annales Henri Poincaré 16, no. 1 (January 31, 2014): 289–345.
Version: Author's final manuscript
ISSN
1424-0637
1424-0661
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