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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Bibliographic Details
Published inCommunications in theoretical physics Vol. 63; no. 5; pp. 569 - 574
Main Author 李然 赵俊坤 张延明
Format Journal Article
LanguageEnglish
Published 01.05.2015
Subjects
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
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ISSN0253-6102
1572-9494
DOI10.1088/0253-6102/63/5/569

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Summary: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.
Bibliography: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）
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ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/63/5/569