In this paper we find new examples of Riemannian manifolds with outermost apparent horizons with nonspherical topology, in dimensions four and above. More precisely, for any $n,m\ge1$, we construct asymptotically flat, scalar flat Riemannian manifolds containing smooth outermost minimal hypersurfaces with topology $S^n\times S^{ m+1}$. In the context of general relativity these hypersurfaces correspond to outermost apparent horizons of black holes.
Categories: gr-qc hep-th math.DG