Black hole spacetimes with Killing-Yano symmetries

TL;DR

This paper reviews black hole spacetimes with Killing-Yano symmetries, highlighting their mathematical properties, specific solutions, and implications for field equation separability in various gravity theories.

Contribution

It provides a comprehensive overview of Killing-Yano symmetries in diverse black hole solutions, including new insights into supergravity cases and spacetime properties.

Findings

Kerr-NUT-(A)dS metrics admit Killing-Yano tensors.

Killing-Yano symmetries facilitate separability of field equations.

Existence of these tensors relates to spacetime algebraic type and Kerr-Schild form.

Abstract

We present a brief overview of black hole spacetimes admitting Killing-Yano tensors. In vacuum these include Kerr-NUT-(A)dS metrics and certain black brane solutions. In the presence of matter fields, (conformal) Killing-Yano symmetries are known to exist for the Plebanski-Demianski solution and (trivially) for any spacetime with spherical symmetry. Special attention is devoted to generalized Killing-Yano tensors of black holes in minimal gauged supergravity. Several aspects directly related to the existence of Killing-Yano tensors, such as the Kerr-Schild form, algebraic type of spacetimes, and separability of field equations, are also briefly discussed.