Charged black rings from inverse scattering

Understand

The inverse scattering method of Belinsky and Zakharov is a powerful method to construct solutions of vacuum Einstein equations.

• In particular, in five dimensions this method has been successfully applied to construct a large variety of black hole solutions.
• Recent applications of this method to Einstein-Maxwell-dilaton (EMd) theory, for the special case of Kaluza-Klein dilaton coupling, has led to the construction of the most general black ring in this theory.
• In this contribution, we review the inverse scattering method and its application to the EMd theory.