  We construct a family of non-supersymmetric extremal black holes and their
horizonless microstate geometries in four dimensions. The black holes can have
finite angular momentum and an arbitrary charge-to-mass ratio, unlike their
supersymmetric cousins. These features make them and their microstate
geometries astrophysically relevant. Thus, they provide interesting prototypes
to study deviations from Kerr solutions caused by new horizon-scale physics. In
this paper, we compute the gravitational multipole structure of these solutions
and compare them to Kerr black holes. The multipoles of the black hole differ
significantly from Kerr as they depend non-trivially on the charge-to-mass
ratio. The horizonless microstate geometries have the same multipoles as their
corresponding black hole, with small deviations set by the scale of their
microstructure.
