Bilinear,Pfaffian and Legendre Function Structures of the Tomimatsu-Sato Solutions of the Ernst Equation in General Relativity
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概要
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We have considered the application of the Hirota bilinear method of the solitontheory to the problem of solving the Ernst equation in general relativity. As a con-crete example, we have investigated the Tomimatsu-Sato (TS) solutions. We havefound (i) the explicit form of the bilinear relations relevant to the TS solutions and (11)that the TS solutions can be compactly expressed by the pfaffians whose elements areexpressed by the Legendre functions. The TS solutions comply with the soliton conjec-ture that high-dimensional solitons are always expressed by special functions.
- 社団法人日本物理学会の論文
- 1991-06-15
著者
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Ohta Yasuhiro
Department Of Applied Mathematics Faculty Of Engineering Hiroshima University
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Nakamura Akira
Physics Laboratory Osaka University Of Foreign Studies
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Nakamura Akira
Physics Division Electrotechnical Laboratory
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NAKAMURA Akira
Physics Laboratory,Osaka University of Foreign Studies
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OHTA Yasuhiro
Department of Applied Mathematics,Faculty of Engineering,Hiroshima University
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