On the linear stability of the extreme Kerr black hole under axially symmetric perturbations
Fil: Dain, Sergio Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
| Main Authors: | , |
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| Format: | submittedVersion |
| Language: | eng |
| Published: |
2022
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| Online Access: | http://hdl.handle.net/11086/29726 https://doi.org/10.48550/arXiv.1402.2848 |
| _version_ | 1801216141640597504 |
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| author | Dain, Sergio Alejandro Gentile de Austria, Ivan |
| author_facet | Dain, Sergio Alejandro Gentile de Austria, Ivan |
| author_sort | Dain, Sergio Alejandro |
| collection | Repositorio Digital Universitario |
| description | Fil: Dain, Sergio Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. |
| format | submittedVersion |
| id | rdu-unc.29726 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2022 |
| record_format | dspace |
| spelling | rdu-unc.297262022-11-29T12:15:17Z On the linear stability of the extreme Kerr black hole under axially symmetric perturbations Dain, Sergio Alejandro Gentile de Austria, Ivan Stability Extreme Kerr black hole submittedVersion Fil: Dain, Sergio Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Dain, Sergio Alejandro. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Dain, Sergio Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Gentile de Austria, Ivan. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Gentile de Austria, Ivan. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Gentile de Austria, Ivan. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. 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. submittedVersion Fil: Dain, Sergio Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Dain, Sergio Alejandro. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Dain, Sergio Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Gentile de Austria, Ivan. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Gentile de Austria, Ivan. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Gentile de Austria, Ivan. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Otras Ciencias Físicas 2022-11-18T11:59:42Z 2022-11-18T11:59:42Z 2014 article http://hdl.handle.net/11086/29726 https://doi.org/10.48550/arXiv.1402.2848 eng De la versión publicada: http://dx.doi.org/10.1088/0264-9381/31/19/195009 Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ Electrónico y/o Digital |
| 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 |
| title | 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_short | 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 |
| topic | Stability Extreme Kerr black hole |
| 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 |