Toda Lattice and Tomimatsu-Sato Solutions
General Relativity and Quantum Cosmology
2009-10-28 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/9505013,
title = {Toda Lattice and Tomimatsu-Sato Solutions},
author = {Takeshi FUKUYAMA and Kiyoshi Kamimura and Songju YU},
journal= {arXiv preprint arXiv:gr-qc/9505013},
year = {2009}
}
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LaTeX 8 pages