中国物理B ›› 2005, Vol. 14 ›› Issue (4): 683-689.doi: 10.1088/1009-1963/14/4/008

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Gravitational quasinormal modes of the Reissner--Nordstr?m de Sitter black hole

荆继良, 陈松柏   

  1. Institute of Physics, Hunan Normal University, Changsha, 410081,China
  • 收稿日期:2004-09-07 修回日期:2004-12-08 出版日期:2005-04-20 发布日期:2005-03-28
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10275024), the Foundation for Author of National Excellent Doctoral Dissertations of China(Grant No 200317), and the Hunan Provincial Natural Science Foundation of China (Grant No 04JJ3019).

Gravitational quasinormal modes of the Reissner--Nordström de Sitter black hole

Jing Ji-Liang (荆继良), Chen Song-Bai (陈松柏)   

  1. Institute of Physics, Hunan Normal University, Changsha 410081,China
  • Received:2004-09-07 Revised:2004-12-08 Online:2005-04-20 Published:2005-03-28
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10275024), the Foundation for Author of National Excellent Doctoral Dissertations of China(Grant No 200317), and the Hunan Provincial Natural Science Foundation of China (Grant No 04JJ3019).

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摘要： By using the P\"oschl--Teller potential approximation, the quasinormal modes of the Reissner--Nordstr\"om de Sitter black hole for the axial and polar gravitational perturbations are investigated. It is shown that the magnitude of imaginary part decreases as the cosmological constant increases, but it increases as the charge, or the overtone number or the orbital angular momentum increases. The imaginary part is almost linearly related to the real part as cosmological constant changes for a fixed charge. It is also found that the gravitational quasinormal modes are the same for both the axial and polar perturbations, which proves that the quasinormal modes are determined only by the parameters of the black hole and are independent of the initial perturbations.

Abstract: By using the Pöschl--Teller potential approximation, the quasinormal modes of the Reissner--Nordström de Sitter black hole for the axial and polar gravitational perturbations are investigated. It is shown that the magnitude of imaginary part decreases as the cosmological constant increases, but it increases as the charge, or the overtone number or the orbital angular momentum increases. The imaginary part is almost linearly related to the real part as cosmological constant changes for a fixed charge. It is also found that the gravitational quasinormal modes are the same for both the axial and polar perturbations, which proves that the quasinormal modes are determined only by the parameters of the black hole and are independent of the initial perturbations.

Key words: black hole, gravitational perturbation, quasinormal modes

中图分类号:  (Quantum aspects of black holes, evaporation, thermodynamics)

  • 04.70.Dy
97.60.Lf (Black holes) 98.80.Es (Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)) 95.30.Sf (Relativity and gravitation)