We study the class of six-dimensional $\mathrm{\Lambda }$-vacuum spacetimes which admit a nondegenerate multiple Weyl aligned null direction $\mathit{\ell }$ (thus being of Weyl type II or more special) with a “generic” optical matrix. Subject to an additional assumption on the asymptotic falloff of the Weyl tensor, we obtain the most general metric of this class, which is specified by one discrete (normalized) and three continuous parameters. All solutions turn out to be Kerr-Schild spacetimes of type D and, in passing, we comment on their Kerr-Schild double copy. We further show that the obtained family is locally isometric to the general doubly spinning Kerr-NUT-(A)dS metric with the NUTs parameters switched off. In particular, the Kerr-(A)dS subclass and its extensions (i.e., analytic continuation and “infinite-rotation” limit) are recovered when certain polynomial metric functions are assumed to be fully factorized. As a side result, a unified metric form which encompasses all three branches of the extended Kerr-(A)dS family in all even dimensions is presented in an appendix.

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• General relativity
• Gravity in dimensions other than four
• Classical black holes