Inverse Scattering Construction of a Dipole Black Ring

TL;DR

This paper presents a novel method using inverse scattering in six dimensions to construct a dipole black ring in five-dimensional Einstein-Maxwell-dilaton theory, leveraging integrability from higher-dimensional vacuum gravity.

Contribution

It introduces a new inverse scattering approach based on GL(4, R) integrability to construct dipole black rings, extending to more complex black objects.

Findings

Constructed the dipole black ring solution in 5D Einstein-Maxwell-dilaton theory.

Demonstrated the method's potential to generate multi-rotation and multi-horizon black objects.

Linked six-dimensional vacuum gravity to 5D black ring solutions through dimensional reduction.

Abstract

Using the inverse scattering method in six dimensions we construct the dipole black ring of five dimensional Einstein-Maxwell-dilaton theory with dilaton coupling a = 2(2/3)^(1/2).The 5d theory can be thought of as the NS sector of low energy string theory in Einstein frame. It can also be obtained by dimensionally reducing six-dimensional vacuum gravity on a circle. Our new approach uses GL(4, R) integrability structure of the theory inherited from six-dimensional vacuum gravity. Our approach is also general enough to potentially generate dipole black objects carrying multiple rotations as well as more exotic multi-horizon configurations.