Bounds for axially symmetric linear perturbations for the extreme Kerr black hole

We obtain remarkably simple integral bounds for axially symmetric linear perturbations for the extreme Kerr black hole in terms of conserved energies. From these estimates we deduce pointwise bounds for the perturbations out side the horizon.

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Bibliographic Details
Main Authors: Dain, Sergio Alejandro, Gentile de Austria, Ivan
Format: article biblioteca
Language:eng
Published: 2015
Subjects:Black holes, Extreme, Linear Stability, Non modal,
Online Access:http://hdl.handle.net/11086/24044
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Summary:We obtain remarkably simple integral bounds for axially symmetric linear perturbations for the extreme Kerr black hole in terms of conserved energies. From these estimates we deduce pointwise bounds for the perturbations out side the horizon.