Toda Lattice and Tomimatsu-Sato Solutions

Details Toda Lattice and Tomimatsu-Sato Solutions Toda Lattice and Tomimatsu-Sato Solutions

1995-05-11

arxiv.org/abs/gr-qc/9505013v1

J.Phys.Soc.Jap. 64 (1995) 3201-3206

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX 8 pages

Scientific paper

10.1143/JPSJ.64.3201

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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