Superradiant Instability of D-Dimensional Reissner-Nordstrom Black Hole Mirror System
We analytically study the superradiant instability of charged massless scalar field in the background of D-dimensional Reissner-Nordstr6m （RN） black hole caused by mirror-like boundary condition. By using the asymptotic matching method to solve the Klein-Gordon equation that governs the dynamics of...
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| Published in | Communications in theoretical physics Vol. 63; no. 5; pp. 569 - 574 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.05.2015
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| Online Access | Get full text |
| ISSN | 0253-6102 1572-9494 |
| DOI | 10.1088/0253-6102/63/5/569 |
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| Abstract | We analytically study the superradiant instability of charged massless scalar field in the background of D-dimensional Reissner-Nordstr6m （RN） black hole caused by mirror-like boundary condition. By using the asymptotic matching method to solve the Klein-Gordon equation that governs the dynamics of scalar field, we have derived the expressions of complex parts of boxed quasinormal frequencies, and shown they are positive in the regime of superradiance. This indicates the charged scalar field is unstable in D-dimensional Reissner-Nordstr6m （RN） black hole surrounded by mirror. However, the numerical work to calculate the boxed quasinormal frequencies in this system is still required in the future. |
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| AbstractList | We analytically study the superradiant instability of charged massless scalar field in the background of D-dimensional Reissner-Nordström (RN) black hole caused by mirror-like boundary condition. By using the asymptotic matching method to solve the Klein-Gordon equation that governs the dynamics of scalar field, we have derived the expressions of complex parts of boxed quasinormal frequencies, and shown they are positive in the regime of superradiance. This indicates the charged scalar field is unstable in D-dimensional Reissner-Nordström (RN) black hole surrounded by mirror. However, the numerical work to calculate the boxed quasinormal frequencies in this system is still required in the future. We analytically study the superradiant instability of charged massless scalar field in the background of D-dimensional Reissner-Nordstrom (RN) black hole caused by mirror-like boundary condition. By using the asymptotic matching method to solve the Klein-Gordon equation that governs the dynamics of scalar field, we have derived the expressions of complex parts of boxed quasinormal frequencies, and shown they are positive in the regime of superradiance. This indicates the charged scalar field is unstable in D-dimensional Reissner-Nordstrom (RN) black hole surrounded by mirror. However, the numerical work to calculate the boxed quasinormal frequencies in this system is still required in the future. We analytically study the superradiant instability of charged massless scalar field in the background of D-dimensional Reissner-Nordstr6m （RN） black hole caused by mirror-like boundary condition. By using the asymptotic matching method to solve the Klein-Gordon equation that governs the dynamics of scalar field, we have derived the expressions of complex parts of boxed quasinormal frequencies, and shown they are positive in the regime of superradiance. This indicates the charged scalar field is unstable in D-dimensional Reissner-Nordstr6m （RN） black hole surrounded by mirror. However, the numerical work to calculate the boxed quasinormal frequencies in this system is still required in the future. |
| Author | 李然 赵俊坤 张延明 |
| AuthorAffiliation | Department of Physics, Henan Normal University, Xinxiang 453007, China |
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| Cites_doi | 10.1088/0253-6102/61/4/14 10.1016/j.physletb.2012.07.015 10.1140/epjc/s10052-014-3051-8 10.1007/JHEP01(2012)091 10.1016/j.physletb.2012.12.013 10.1143/PTP.112.983 10.1016/0003-4916(79)90237-9 10.1016/j.physletb.2014.12.007 10.1103/PhysRevD.83.064020 10.1016/j.physletb.2012.06.043 10.1016/j.physletb.2012.01.054 10.1103/PhysRevD.13.198 10.1086/151796 10.1103/PhysRevD.76.084001 10.1103/PhysRevD.89.063005 10.1140/epjc/s10052-013-2296-y 10.1103/PhysRevD.67.024012 10.1088/0253-6102/59/4/22 10.1103/PhysRevD.88.063003 10.1007/JHEP02(2013)014 10.1103/PhysRevD.14.3251 10.1007/JHEP06(2010)015 10.1016/0003-4916(86)90186-7 10.1103/PhysRevD.71.024034 10.1088/0253-6102/55/2/07 10.1140/epjc/s10052-012-2274-9 10.1038/238211a0 10.1007/BF02725534 10.1103/PhysRevD.81.061502 10.1103/PhysRevD.22.2323 10.1103/PhysRevD.7.949 10.1007/JHEP09(2013)101 10.1016/j.physletb.2008.07.079 |
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| Notes | We analytically study the superradiant instability of charged massless scalar field in the background of D-dimensional Reissner-Nordstr6m （RN） black hole caused by mirror-like boundary condition. By using the asymptotic matching method to solve the Klein-Gordon equation that governs the dynamics of scalar field, we have derived the expressions of complex parts of boxed quasinormal frequencies, and shown they are positive in the regime of superradiance. This indicates the charged scalar field is unstable in D-dimensional Reissner-Nordstr6m （RN） black hole surrounded by mirror. However, the numerical work to calculate the boxed quasinormal frequencies in this system is still required in the future. Reissner-NordstrSm black hole, superradiance, instability 11-2592/O3 LI Ran, ZHAO Jun-Kun , ZHANG Yan-Ming （Department of Physics, Henan Normal University, Xinxiang 453007, China） ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| Snippet | We analytically study the superradiant instability of charged massless scalar field in the background of D-dimensional Reissner-Nordstr6m （RN） black hole... We analytically study the superradiant instability of charged massless scalar field in the background of D-dimensional Reissner-Nordström (RN) black hole... We analytically study the superradiant instability of charged massless scalar field in the background of D-dimensional Reissner-Nordstrom (RN) black hole... |
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| SubjectTerms | Asymptotic properties Charging Dynamics Instability Klein-Gordon equation Mathematical analysis Scalars Stability 不稳定性 复杂零件 标量场 系统 超稳定性 边界条件 高维 黑洞 |
| Title | Superradiant Instability of D-Dimensional Reissner-Nordstrom Black Hole Mirror System |
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