Deformed and twisted black holes with NUTs

TL;DR

This paper introduces a new class of vacuum black hole solutions characterized by deformations and twists due to NUT charges, extending known Kerr-(A)dS black holes with additional geometric features.

Contribution

It constructs novel black hole geometries with NUT-induced deformations and twists by unspinning Kerr-NUT-(A)dS spacetimes, preserving their symmetry structures.

Findings

New black hole solutions with NUT-induced deformation and twist.

Solutions reduce to Kerr-(A)dS black holes when NUT parameters vanish.

Inherited full symmetry and hidden symmetries of the original spacetime.

Abstract

We construct a new class of vacuum black hole solutions whose geometry is deformed and twisted by the presence of NUT charges. The solutions are obtained by `unspinning' the general Kerr-NUT-(A)dS spacetimes, effectively switching off some of their rotation parameters. The resulting geometry has a structure of warped space with the Kerr-like Lorentzian part warped to a Euclidean metric of deformed and/or twisted sphere, with the deformation and twist characterized by the `Euclidean NUT' parameters. In the absence of NUTs, the solution reduces to a well known Kerr-(A)dS black hole with several rotations switched off. New geometries inherit the original symmetry of the Kerr-NUT-(A)dS family, namely, they possess the full Killing tower of hidden and explicit symmetries. As expected, for vanishing NUT, twist, and deformation parameters, the symmetry is further enlarged.