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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Main Authors: Lu Huang, Juhua Chen, Yongjiu Wang
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
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.
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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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