New Axisymmetric Stationary Solutions of Five-dimensional Vacuum Einstein Equations with Asymptotic Flatness

TL;DR

This paper introduces new five-dimensional axisymmetric stationary vacuum solutions, expanding the known black ring configurations using solitonic techniques, and relates them to four-dimensional Weyl solutions.

Contribution

It presents novel five-dimensional vacuum solutions that include different black rings, derived via solitonic methods and connected to four-dimensional Weyl solutions.

Findings

New five-dimensional black ring solutions identified

Solutions are related to four-dimensional Weyl solutions

Expands the variety of known asymptotically flat black objects

Abstract

New axisymmetric stationary solutions of the vacuum Einstein equations in five-dimensional asymptotically flat spacetimes are obtained by using solitonic solution-generating techniques. The new solutions are shown to be equivalent to the four-dimensional multi-solitonic solutions derived from particular class of four-dimensional Weyl solutions and to include different black rings from those obtained by Emparan and Reall.