Perturbing microscopic black holes inspired by noncommutativity
Abstract We probe into the instabilities of microscopic quantum black holes. For this purpose, we study the quasinormal modes (QNMs) for a massless scalar perturbation of the noncommutative geometry inspired Schwarzschild black hole. By means of a sixth order Wentzel–Kramers–Brillouin (WKB) approxim...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-7084-x |
| _version_ | 1819015938494693376 |
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| author | D. Batic N. G. Kelkar M. Nowakowski K. Redway |
| author_facet | D. Batic N. G. Kelkar M. Nowakowski K. Redway |
| author_sort | D. Batic |
| collection | DOAJ |
| description | Abstract We probe into the instabilities of microscopic quantum black holes. For this purpose, we study the quasinormal modes (QNMs) for a massless scalar perturbation of the noncommutative geometry inspired Schwarzschild black hole. By means of a sixth order Wentzel–Kramers–Brillouin (WKB) approximation we show that the widely used WKB method does not converge in the critical cases where instabilities show up at the third order. By employing the inverted potential method, we demonstrate that the instabilities are an artifact of the WKB method. Finally, we discuss the usefulness of the asymptotic iteration method to find the QNMs. |
| first_indexed | 2024-12-21T02:39:41Z |
| format | Article |
| id | doaj.art-d88620276c6a437091a14c502208b66e |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-21T02:39:41Z |
| publishDate | 2019-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-d88620276c6a437091a14c502208b66e2022-12-21T19:18:42ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-07-0179711210.1140/epjc/s10052-019-7084-xPerturbing microscopic black holes inspired by noncommutativityD. Batic0N. G. Kelkar1M. Nowakowski2K. Redway3Department of Mathematics, Khalifa University of Science and TechnologyDepartamento de Fisica, Universidad de los AndesDepartamento de Fisica, Universidad de los AndesDepartament of Physics, University of the West IndiesAbstract We probe into the instabilities of microscopic quantum black holes. For this purpose, we study the quasinormal modes (QNMs) for a massless scalar perturbation of the noncommutative geometry inspired Schwarzschild black hole. By means of a sixth order Wentzel–Kramers–Brillouin (WKB) approximation we show that the widely used WKB method does not converge in the critical cases where instabilities show up at the third order. By employing the inverted potential method, we demonstrate that the instabilities are an artifact of the WKB method. Finally, we discuss the usefulness of the asymptotic iteration method to find the QNMs.http://link.springer.com/article/10.1140/epjc/s10052-019-7084-x |
| spellingShingle | D. Batic N. G. Kelkar M. Nowakowski K. Redway Perturbing microscopic black holes inspired by noncommutativity European Physical Journal C: Particles and Fields |
| title | Perturbing microscopic black holes inspired by noncommutativity |
| title_full | Perturbing microscopic black holes inspired by noncommutativity |
| title_fullStr | Perturbing microscopic black holes inspired by noncommutativity |
| title_full_unstemmed | Perturbing microscopic black holes inspired by noncommutativity |
| title_short | Perturbing microscopic black holes inspired by noncommutativity |
| title_sort | perturbing microscopic black holes inspired by noncommutativity |
| url | http://link.springer.com/article/10.1140/epjc/s10052-019-7084-x |
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