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Given a submanifold $S \subset \mathbb R^n$ of codimension at least three, weconstruct an asymptotically Euclidean Riemannian metric on $\mathbb R^n$ withnonnegative scalar curvature for which the outermost apparent horizon isdiffeomorphic to the unit normal bundle of $S$.

Outermost apparent horizons diffeomorphic to unit normal bundles