2014/04/30 by Ran Li, Zhaojun Kun, Yanming Zhang
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1088/0253-6102/63/5/569
published as Commun. Theor. Phys. 63 (2015) 569-574 · 6 pages, no figure. Version accepted by Commun. Theor. Phys. arXiv admin note: substantial text overlap with arXiv:1403.7279
arxiv created 2015/03/23 · arxiv updated 2015/06/11
We analytically study the superradiant instability of a charged massless scalar field in the background of D-dimensional Reissner-Nordström (RN) black hole caused by the mirror's boundary condition. By using the asymptotic matching method to solve the Klein-Gordon equation that govern the dynamics of the scalar field, we have derived the expressions of the complex parts of the 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. The numerical work to calculate the boxed quasinormal frequencies in this system is still required in the future.