Analytic Solutions of the Teukolsky Equation and Their Properties : Astrophysics and Relativity
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概要
- 論文の詳細を見る
The analytical solutions reported in our previous paper are given as series of hypergeometric or Coulomb wave functions. Using them, we can get the Teukolsky functions analytically in a desired accuracy. For the computation, the deep understanding of their properties is necessary. We summarize the main result: The relative normalization between the solutions with a spin weight s and -s is given analytically using the Teukolsky-Starobinsky (T-S) identities. By examining the asymptotic behavior of our solution and combined with the T-S identities and the Wronskian, we found nontrivial identities between the sums of coefficients of the series. These identities will serve to make various expression in simpler forms and also become a powerful tool to test the accuracy of the computation. As an application, we investigated the absorption rate and the evaporation rate of black hole and obtain interesting analytic results.
- 理論物理学刊行会の論文
- 1997-02-25
著者
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Takasugi E
Osaka Univ.
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MANO Shuhei
Department of Physics, Osaka University
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TAKASUGI Eiichi
Department of Physics, Osaka University
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Mano Shuhei
Department Of Physics Osaka University
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Takasugi Eiichi
Department Of Physics Graduate School Of Science Osaka University
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MANO Syuhei
Department of Physics,Osaka University
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Mano Shuhei
Department Of Mathematical Analysis And Statistical Inference The Institute Of Statistical Mathematics
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MANO Shuhei
Department of Physics, Osaka University:Department of Physics, Hokkaido University
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TAKASUGI Eiichi
Department of Physics, Osaka University:Department of Physics, Hokkaido University
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TAKASUGI Eiichi
Institute of Physics, College of General Education, Osaka University
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