Universal spindles: D2's on $\mathrm{\Sigma }$ and M5's on $\mathrm{\Sigma }\times {\mathbb{H}}^3$

We study the uplift of a 4d black hole in 4d Einstein–Maxwell supergravity with a spindle horizon to massive type IIA and 11d supergravity on $S^4\times {\mathbb{H}}^3$. The solutions exhibit features distinct to the uplift of the same 4d solution to 11d supergravity on an $S^7$. In particular, whereas the orbifold singularities may be removed in the 11d uplift on an $S^7$, they are always present in both of the classes considered here. We compute the free energy of the solutions giving predictions for the free energy of a class of 3d Chern–Simons theories wrapped on a spindle.