A Conserved Energy Integral for Perturbation Equations in the Kerr-de Sitter Geometry

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概要

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• An analytic proof of mode stability of the Kerr black hole was provided by Whiting. In his proof, the construction of a conserved quantity for the unstable mode was crucial. We extend the method of this analysis to the Kerr-de Sitter geometry. The perturbation equations of massless fields in the Kerr-de Sitter geometry can be transformed into Heun's equations, which have four regular singularities. In this paper we investigate differential and integral transformations of solutions of these equations. Using these, we construct a conserved quantity for unstable modes in the Kerr-de Sitter geometry, and we find that this quantity cannot bound the magnitudes of the time derivative of perturbations.

• 理論物理学刊行会の論文
• 2000-10-25

著者

• UMETSU Hiroshi

  Department of Physics, Osaka University

• Umetsu Hiroshi

  Department Of Physics Graduate School Of Science Tohoku University

• Umetsu Hiroshi

  Department Of Physics Hokkaido University

• Umetsu Hiroshi

  Department of Physics,Osaka University

関連論文

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• Analytic Solutions of the Teukolsky Equation in Kerr-de Sitter and Kerr-Newman-de Sitter Geometries
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• Three-Dimensional Black Holes and Liouville Field Theory
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