Perturbations of Kerr-de Sitter Black Holes and Heun′s Equations

  • Suzuki Hisao
    Department of Physics, Hokkaido University, Sapporo 060–0810, Japan
  • Takasugi Eiichi
    Department of Physics, Osaka University, Toyonaka 560–0043, Japan
  • Umetsu Hiroshi
    Department of Physics, Osaka University, Toyonaka 560–0043, Japan

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タイトル別名
  • Perturbations of Kerr-de Sitter Black Holes and Heun's Equations.
  • Perturbations of Kerr-de Sitter Black H

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It is well known that the perturbation equations of massless fields for the Kerr-de Sitter geometry can be written in the form of separable equations. The equations have five definite singularities, so it has been thought that their analysis would be difficult. We show that these equations can be transformed into Heun's equations, for which we are able to use a known technique to analyze solutions. We reproduce known results for the Kerr geometry and de Sitter geometry in the confluent limits of Heun's functions. Our analysis can be extended to Kerr-Newman-de Sitter geometry for massless fields with spin 0 and 12.

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