Toda Molecule and Tomimatsu-Sato Solution $\sim$ Towards the complete proof of Nakamura's conjecture$\sim$

Details Toda Molecule and Tomimatsu-Sato Solution $\sim$ Towards the complete proof of Nakamura's conjecture$\sim$ Toda Molecule and Tomimatsu-Sato Solution $\sim$ Towards the complete proof of Nakamura's conjecture$\sim$

2010-12-06

arxiv.org/abs/1012.1077v3

J.Phys.A44:345201,2011

Physics

Mathematical Physics

16 pages, 1 fifure, Typos corrected, reference added

Scientific paper

10.1088/1751-8113/44/34/345201

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.

Affiliated with

Also associated with

No associations

Rating

Toda Molecule and Tomimatsu-Sato Solution $\sim$ Towards the complete proof of Nakamura's conjecture$\sim$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Toda Molecule and Tomimatsu-Sato Solution $\sim$ Towards the complete proof of Nakamura's conjecture$\sim$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toda Molecule and Tomimatsu-Sato Solution $\sim$ Towards the complete proof of Nakamura's conjecture$\sim$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-167110