Supergravity, complex parameters and the Janis-Newman algorithm

Understand

The Demia\'nski-Janis-Newman algorithm is an original solution generating technique.

• For a long time it has been limited to producing rotating solutions, restricting to the case of a metric and real scalar fields, despite the fact that Demia\'nski extended it to include more parameters such as a NUT charge.
• Recently two independent prescriptions have been given for extending the algorithm to gauge fields and thus electrically charged configurations.
• In this paper we aim to end setting up the algorithm by providing a missing but important piece, which is how the transformation is applied to complex scalar fields.