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arXiv · gr-qc/9505013

Toda Lattice and Tomimatsu-Sato Solutions

Takeshi FUKUYAMA·Kiyoshi Kamimura·Songju YU
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Abstract

We discuss an analytic proof of a conjecture (Nakamura) that solutions of Toda molecule equation give those of Ernst equation giving Tomimatsu-Sato solutions of Einstein equation. Using Pfaffian identities it is shown for Weyl solutions completely and for generic cases partially.

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Takeshi FUKUYAMA, Kiyoshi Kamimura, Songju YU. 1995-05-11. Toda Lattice and Tomimatsu-Sato Solutions. https://doi.org/10.1143/jpsj.64.3201

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