A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary

Sergio Almaraz; Shaodong Wang

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arXiv · 2506.20453

A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary

Sergio Almaraz·Shaodong Wang

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Abstract

On a smooth asymptotically flat Riemannian manifold with non-compact boundary, we prove a positive mass theorem for metrics which are only continuous across a compact hypersurface. As an application, we obtain a positive mass theorem on manifolds with non-compact corners.

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Sergio Almaraz, Shaodong Wang. 2025-06-25. A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary. https://arxiv.org/abs/2506.20453

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