The hidden symmetry of higher dimensional Kerr–NUT–AdS spacetimes

It is well known that four-dimensional Kerr–NUT–AdS spacetime possesses the hidden symmetry associated with the Killing–Yano tensor. This tensor is ‘universal’ in the sense that there exist coordinates where it does not depend on any of the free parameters of the metric. Recently, the general higher dimensional Kerr–NUT–AdS solutions of the Einstein equations were obtained. We demonstrate that all these metrics with arbitrary rotation and NUT parameters admit a universal Killing–Yano tensor. We give an explicit presentation of the Killing–Yano tensor and associated second rank Killing tensor and briefly discuss their properties.