Time evolutions of scalar field perturbations in D-dimensional Reissner-Nordström Anti-de Sitter black holes

详细信息    查看全文

• 作者：Ran Li^a ; ^{liran@htu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Hongbao Zhang^b ; ^c ; ^d ; ^{hzhang@vub.ac.be" class="auth_mail" title="E-mail the corresponding author} ; Junkun Zhao^a ; ^{zhaojkun1991@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Reissner&ndash ; Nordströ ; m Anti-de Sitter black hole ; Superradiant instability ; Time evolution
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 July 2016
• 年：2016
• 卷：758
• 期：Complete
• 页码：359-364
• 全文大小：725 K

文摘

Reissner–Nordström Anti-de Sitter (RNAdS) black holes are unstable against the charged scalar field perturbations due to the well-known superradiance phenomenon. We present the time domain analysis of charged scalar field perturbations in the RNAdS black hole background in general dimensions. We show that the instabilities of charged scalar field can be explicitly illustrated from the time profiles of evolving scalar field. By using the Prony method to fit the time evolution data, we confirm the mode that dominates the long time behavior of scalar field is in accordance with the quasinormal mode from the frequency domain analysis. The superradiance origin of the instability can also be demonstrated by comparing the real part of the dominant mode with the superradiant condition of charged scalar field. It is shown that all the unstable modes are superradiant, which is consistent with the analytical result in the frequency domain analysis. Furthermore, we also confirm there exists the rapid exponential growing modes in the RNAdS case, which makes the RNAdS black hole a good test ground to investigate the nonlinear evolution of superradiant instability.