On the linear stability of the extreme Kerr black hole under axially symmetric perturbations
We prove that for axially symmetric linear gravitational perturbations of the extreme Kerr black hole, there exists a positive definite and conserved energy. This provides a basic criteria for linear stability in axial symmetry. In the particular case of Minkowski, using this energy we also prove the pointwise boundedness of the perturbation in a remarkably simple way.
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| Main Authors: | , |
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| Format: | article biblioteca |
| Language: | eng |
| Published: |
2014
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| Subjects: | Stability, Extreme Kerr black hole, |
| Online Access: | http://hdl.handle.net/11086/29726 https://doi.org/10.48550/arXiv.1402.2848 |
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