Toda分子与Tomimatsu-Sato解$\sim$--关于Nakamura猜想$\sim$的完全证明
Toda Molecule and Tomimatsu-Sato Solution $\sim$ Towards the complete proof of Nakamura's conjecture$\sim$
摘要：
本文讨论了Nakamura猜想，即具有整数形变参数$n$的Tomimatsu-Sato黑洞解是由Toda分子方程在第$n$格点处的特解构成的.从以前的工作，其中猜想的部分解析证明，我们进一步走向最终的充分证明，通过重新安排的旋转参数。证明是明确执行的最高和最低的订单。虽然所有订单的证明仍然没有解决，但通过我们的方法，充分证明的前景变得透明和可行。
英文摘要：
We discuss the Nakamura's conjecture stating that the Tomimatsu-Sato black hole solution with integer deformation parameter $n$ is composed of the special solutions of the Toda molecule equation at the $n$-th lattice site. From the previous work, in which the conjecture was partly analytically proved, we go further towards final full proof by rearranging the rotation parameter. The proof is explicitly performed for the highest and lowest orders. Though the proof for all orders remains still unsolved, the prospect to the full proof becomes transparent and workable by our method.
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