Black holes, hidden symmetries, and complete integrability

Understand

The study of higher-dimensional black holes is a subject which has recently attracted a vast interest.

• Perhaps one of the most surprising discoveries is a realization that the properties of higher-dimensional black holes with the spherical horizon topology and described by the Kerr-NUT-(A)dS metrics are very similar to the properties of the well known four-dimensional Kerr metric.
• This remarkable result stems from the existence of a single object called the principal tensor.
• In our review we discuss explicit and hidden symmetries of higher-dimensional black holes.