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Title:
The positive mass theorem with boundaries, complete ends, and scalar curvature shields
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Abstract:
In joint work with M. Lesourd and R. Unger, we give a non-spinor proof of the spacetime positive mass theorem with weakly outer trapped boundary. It turns out that this implies a version of the Riemannian positive mass theorem that does not require nonnegative scalar curvature everywhere, so long as the negative scalar curvature is “shielded” from the asymptotically flat end by a region with sufficiently positive scalar curvature. By an argument of Lesourd, Unger, and Yau, this latter fact also implies the Riemannian positive mass theorem for arbitrary complete ends.
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