Janis-Newman algorithm: generating rotating and NUT charged black holes

TL;DR

This paper reviews the most general form of the Janis-Newman algorithm, enabling the generation of rotating and NUT charged black hole solutions with various fields and parameters, including extensions to higher dimensions.

Contribution

It presents a comprehensive extension of the Janis-Newman algorithm to include all bosonic fields and multiple parameters, broadening its applicability to complex black hole solutions.

Findings

Generated solutions with all bosonic fields and five key parameters.

Extended the algorithm to higher-dimensional spacetimes.

Illustrated the method with several explicit examples.

Abstract

In this review we present the most general form of the Janis--Newman algorithm. This extension allows to generate configurations which contain all bosonic fields with spin less than or equal to two (real and complex scalar fields, gauge fields, metric field) and with five of the six parameters of the Pleba\'nski-Demia\'nski metric (mass, electric charge, magnetic charge, NUT charge and angular momentum). Several examples are included to illustrate the algorithm. We also discuss the extension of the algorithm to other dimensions.