Analytic Solutions of the Teukolsky Equation and Their Low Frequency Expansions
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概要
- 論文の詳細を見る
Analytic solutions of the Teukolsky equation for arbitrary spin weight in Kerr geometry are presented in the form of series of hypergeometric functions and Coulomb wave functions. Relations between these solutions are established. The solutions provide a very powerful method not only for examining the general properties of solution and physical quantities both analytically and numerically. The solutions can be regarded as series expansions in terms of a small parameter ε≡2Mω, M being the mass of black hole, which corresponds to the Post-Minkowski espansion by G and to post-Newtonian expansion then they are applied to the gravitational radiation from a particle in circular orbit around a black hole. It is expected that these solutions will become a powerful weapon to construct accurate theorecical for LIGO and VIRGO projects.
- 理論物理学刊行会の論文
- 1996-06-25
著者
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鈴木 久男
北大理
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Takasugi E
Osaka Univ.
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SUZUKI HISAO
Department of Material Science, Graduate School of Engineering, Shizuoka University
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Suzuki H
Ibaraki Univ. Mito Jpn
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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 S
Osaka Univ. Toyonaka
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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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Suzuki Hisao
Department Of Electronic-mechanical Engineering Faculty Of Engineering Nagoya 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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SUZUKI Hisao
Department of Physics, Osaka University:Department of Physics, Hokkaido University
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SUZUKI Hisao
Institute of Physics, College of General Education Osaka University
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Suzuki Hisao
Departmennt of Materials Science, Shizuoka University, 3-5-1 Johoku, Hamamatsu 432-8561, Japan
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