Imperial College London
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ProfessorGustavHolzegel

Faculty of Natural Sciences, Department of Mathematics

Professor of Pure Mathematics
 
 
 
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g.holzegel CV

 
 
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Location

 

625Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Holzegel:2019:10.1007/s40818-018-0058-8,
author = {Holzegel, G and Dafermos, M and Rodnianski, I},
doi = {10.1007/s40818-018-0058-8},
journal = {Annals of PDE},
pages = {1--118},
title = {Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case |a|M},
url = {http://dx.doi.org/10.1007/s40818-018-0058-8},
volume = {5},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We prove boundedness and polynomial decay statements for solutions of the spin   ±2  Teukolsky equation on a Kerr exterior background with parameters satisfying   |a|M . The bounds are obtained by introducing generalisations of the higher order quantities P and   P––  used in our previous work on the linear stability of Schwarzschild. The existence of these quantities in the Schwarzschild case is related to the transformation theory of Chandrasekhar. In a followup paper, we shall extend this result to the general sub-extremal range of parameters   |a|<M . As in the Schwarzschild case, these bounds provide the first step in proving the full linear stability of the Kerr metric to gravitational perturbations.
AU  - Holzegel,G
AU  - Dafermos,M
AU  - Rodnianski,I
DO  - 10.1007/s40818-018-0058-8
EP  - 118
PY  - 2019///
SN  - 2524-5317
SP  - 1
TI  - Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case |a|M
T2  - Annals of PDE
UR  - http://dx.doi.org/10.1007/s40818-018-0058-8
UR  - https://link.springer.com/article/10.1007%2Fs40818-018-0058-8
UR  - http://hdl.handle.net/10044/1/76577
VL  - 5
ER  -
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