PROPERTIES OF THE BLACK DIRINGS

We show some characteristics of the solutions of five-dimensional black dirings, especially the relation of the two different solution-sets of the black di-rings; the one was generated by the authors with the solitonic method similar to the Backlund transformation and the other was by Evslin and Krishnan with the inverse scattering method that is modified by Pomeransky. First by reconstructing the former by the use of the inverse scattering method we clarify that the difference between these representations comes from the difference of the corresponding seeds, and give the moduli-parameters and physical quantities to the solution-sets respectively. Then we discuss the equivalence of these two solution-sets with the aid of the facts established by Hollands and Yazadjiev, which concern the uniqueness of higher-dimensional black holes.