College Physics ›› 2024, Vol. 43 ›› Issue (01): 5-.doi: 10.16854/j.cnki.1000-0712.230046

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An explanation of the 1st-order WKB method in the applied research of the black hole quasinormal modes

XU Xiao-bao   

  1. College of Physical Science and Technology, Lingnan Normal University, Zhanjiang, Guangdong 524048, China
  • Received:2023-02-15 Revised:2023-04-26 Online:2024-03-01 Published:2024-03-05

Abstract: An important method to compute quasinormal modes of black holes is the WKB method. The main principle of this method is to match the two asymptotic solutions satisfying the boundary conditions with the approximate solution at the top of the effective potential across two turning points, so as to determine quasinormal modes. However, many literatures do not explain how the asymptotic solutions are matched. In this paper, a more reasonable explanation for this problem is given.

Key words: WKB method, quasinormal modes, asymptotic solution