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 th...

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Detalles Bibliográficos
Autores principales: Dain, Sergio Alejandro, Gentile de Austria, Ivan
Formato: article
Lenguaje:Inglés
Publicado: 2022
Materias:
Stability
Extreme Kerr black hole
Acceso en línea:http://hdl.handle.net/11086/29726
https://doi.org/10.48550/arXiv.1402.2848
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-29726
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Stability
Extreme Kerr black hole
spellingShingle Stability
Extreme Kerr black hole
Dain, Sergio Alejandro
Gentile de Austria, Ivan
On the linear stability of the extreme Kerr black hole under axially symmetric perturbations
topic_facet Stability
Extreme Kerr black hole
description 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.
format article
author Dain, Sergio Alejandro
Gentile de Austria, Ivan
author_facet Dain, Sergio Alejandro
Gentile de Austria, Ivan
author_sort Dain, Sergio Alejandro
title On the linear stability of the extreme Kerr black hole under axially symmetric perturbations
title_short On the linear stability of the extreme Kerr black hole under axially symmetric perturbations
title_full On the linear stability of the extreme Kerr black hole under axially symmetric perturbations
title_fullStr On the linear stability of the extreme Kerr black hole under axially symmetric perturbations
title_full_unstemmed On the linear stability of the extreme Kerr black hole under axially symmetric perturbations
title_sort on the linear stability of the extreme kerr black hole under axially symmetric perturbations
publishDate 2022
url http://hdl.handle.net/11086/29726
https://doi.org/10.48550/arXiv.1402.2848
work_keys_str_mv AT dainsergioalejandro onthelinearstabilityoftheextremekerrblackholeunderaxiallysymmetricperturbations
AT gentiledeaustriaivan onthelinearstabilityoftheextremekerrblackholeunderaxiallysymmetricperturbations
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