Solitonic generation of five-dimensional black ring solution

TL;DR

This paper uses a solitonic solution-generating method to derive a five-dimensional black ring solution with more parameters than previous models, exploring its properties and coordinate relations.

Contribution

It introduces a new five-dimensional black ring solution with additional parameters using a solitonic technique, expanding the understanding of black ring configurations.

Findings

Derived a new black ring solution with more parameters

Identified conditions to reduce to known black ring solutions

Analyzed coordinate system relations in the solution

Abstract

Using the solitonic solution-generating technique we rederived the one-rotational five-dimensional black ring solution found by Emparan and Reall. The seed solution is not the Minkowski metric, which is the seed of $S^2$-rotating black ring. The obtained solution has more parameters than the Emparan and Reall's $S^1$-rotating black ring. We found the conditions of parameters to reduce the solution to the $S^1$-rotating black ring. In addition we examined the relation between the expressions of the metric in the prolate-spheroidal coordinates and in the canonical coordinates.