Outermost apparent horizons diffeomorphic to unit normal bundles
Differential Geometry
2020-08-05 v4 General Relativity and Quantum Cosmology
Abstract
Given a submanifold of codimension at least three, we construct an asymptotically Euclidean Riemannian metric on with nonnegative scalar curvature for which the outermost apparent horizon is diffeomorphic to the unit normal bundle of .
Cite
@article{arxiv.1606.08418,
title = {Outermost apparent horizons diffeomorphic to unit normal bundles},
author = {Mattias Dahl and Eric Larsson},
journal= {arXiv preprint arXiv:1606.08418},
year = {2020}
}
Comments
v2: New proof of outer bound under weaker assumptions. The main theorem now holds in all dimensions. v3: Clarified definitions of "bounding", "enclosing" and "outermost" hypersurfaces. v4: Minor corrections