Superradiant Instability of D-Dimensional Reissner-Nordstrom Black Hole Mirror System

被引:25
作者
Li Ran [1 ]
Zhao Jun-Kun [1 ]
Zhang Yan-Ming [1 ]
机构
[1] Henan Normal Univ, Dept Phys, Xinxiang 453007, Peoples R China
基金
中国国家自然科学基金;
关键词
Reissner Nordstrom black hole; superradiance; instability; MASSIVE SCALAR FIELD; QUASI-NORMAL MODES; WAVES; AMPLIFICATION; EXTRACTION; STABILITY; SPACETIME; ENERGY;
D O I
10.1088/0253-6102/63/5/569
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:569 / 574
页数:6
相关论文
共 55 条
  • [1] Abramowitz M., 1970, Handbook of Mathematical Function
  • [2] Superradiant instability of five-dimensional rotating charged AdS black holes
    Aliev, Alikram N.
    Delice, Oezguer
    [J]. PHYSICAL REVIEW D, 2009, 79 (02)
  • [3] [Anonymous], ARXIV13060932
  • [4] [Anonymous], PHYS REV D
  • [5] ROTATING BLACK HOLES - LOCALLY NONROTATING FRAMES, ENERGY EXTRACTION, AND SCALAR SYNCHROTRON RADIATION
    BARDEEN, JM
    TEUKOLSKY, SA
    PRESS, WH
    [J]. ASTROPHYSICAL JOURNAL, 1972, 178 (02) : 347 - +
  • [6] EXTRACTION OF ENERGY AND CHARGE FROM A BLACK HOLE
    BEKENSTEIN, JD
    [J]. PHYSICAL REVIEW D, 1973, 7 (04) : 949 - 953
  • [7] Quasinormal modes and stability of the rotating acoustic black hole: Numerical analysis
    Cardoso, V
    Lemos, JPS
    Yoshida, S
    [J]. PHYSICAL REVIEW D, 2004, 70 (12): : 124032 - 1
  • [8] Classical instability of Kerr-AdS black holes and the issue of final state
    Cardoso, Vitor
    Dias, Oscar J. C.
    Yoshida, Shijun
    [J]. PHYSICAL REVIEW D, 2006, 74 (04):
  • [9] Linear dilaton black holes -: art. no. 024012
    Clément, G
    Gal'tsov, D
    Leygnac, C
    [J]. PHYSICAL REVIEW D, 2003, 67 (02):
  • [10] QUANTUM RESONANCES IN STATIONARY GEOMETRIES
    DAMOUR, T
    DERUELLE, N
    RUFFINI, R
    [J]. LETTERE AL NUOVO CIMENTO, 1976, 15 (08): : 257 - 262