Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole
Abstract We investigate the quasinormal modes and area/entropy spectrum for the noncommutative BTZ black hole. The exact expressions for QNM frequencies are presented by expanding the noncommutative parameter in horizon radius. We find that the noncommutativity does not affect conformal weights ($$h...
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Format: | Article |
Language: | English |
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SpringerOpen
2018-04-01
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5779-z |
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author | Lu Huang Juhua Chen Yongjiu Wang |
author_facet | Lu Huang Juhua Chen Yongjiu Wang |
author_sort | Lu Huang |
collection | DOAJ |
description | Abstract We investigate the quasinormal modes and area/entropy spectrum for the noncommutative BTZ black hole. The exact expressions for QNM frequencies are presented by expanding the noncommutative parameter in horizon radius. We find that the noncommutativity does not affect conformal weights ($$h_{L}, h_{R}$$ hL,hR ), but it influences the thermal equilibrium. The intuitive expressions of the area/entropy spectrum are calculated in terms of Bohr–Sommerfeld quantization, and our results show that the noncommutativity leads to a nonuniform area/entropy spectrum. We also find that the coupling constant $$\xi $$ ξ , which is the coupling between the scalar and the gravitational fields, shifts the QNM frequencies but not influences the structure of area/entorpy spectrum. |
first_indexed | 2024-12-23T20:51:43Z |
format | Article |
id | doaj.art-2da9e68f3b2d439987e7a8ba14c9b105 |
institution | Directory Open Access Journal |
issn | 1434-6044 1434-6052 |
language | English |
last_indexed | 2024-12-23T20:51:43Z |
publishDate | 2018-04-01 |
publisher | SpringerOpen |
record_format | Article |
series | European Physical Journal C: Particles and Fields |
spelling | doaj.art-2da9e68f3b2d439987e7a8ba14c9b1052022-12-21T17:31:38ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-04-017841910.1140/epjc/s10052-018-5779-zQuasinormal modes and quantization of area/entropy for noncommutative BTZ black holeLu Huang0Juhua Chen1Yongjiu Wang2Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityDepartment of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityDepartment of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityAbstract We investigate the quasinormal modes and area/entropy spectrum for the noncommutative BTZ black hole. The exact expressions for QNM frequencies are presented by expanding the noncommutative parameter in horizon radius. We find that the noncommutativity does not affect conformal weights ($$h_{L}, h_{R}$$ hL,hR ), but it influences the thermal equilibrium. The intuitive expressions of the area/entropy spectrum are calculated in terms of Bohr–Sommerfeld quantization, and our results show that the noncommutativity leads to a nonuniform area/entropy spectrum. We also find that the coupling constant $$\xi $$ ξ , which is the coupling between the scalar and the gravitational fields, shifts the QNM frequencies but not influences the structure of area/entorpy spectrum.http://link.springer.com/article/10.1140/epjc/s10052-018-5779-z |
spellingShingle | Lu Huang Juhua Chen Yongjiu Wang Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole European Physical Journal C: Particles and Fields |
title | Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole |
title_full | Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole |
title_fullStr | Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole |
title_full_unstemmed | Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole |
title_short | Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole |
title_sort | quasinormal modes and quantization of area entropy for noncommutative btz black hole |
url | http://link.springer.com/article/10.1140/epjc/s10052-018-5779-z |
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