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arXiv · 2607.19320

A spacetime positive mass theorem with corners via mollification

Hyun Chul Jang·Aidan F. Wood
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Abstract

We prove a strict dominant energy deformation theorem for asymptotically flat initial data with corners along a hypersurface $\Sigma$. The deformation preserves a corner condition on the Bartnik data across $\Sigma$. We show that if the dominant energy condition holds on each side of $\Sigma$ and the Bartnik data satisfy this corner condition, then the exterior end satisfies $E \ge |P|$ in every dimension $n \ge 3$.

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Hyun Chul Jang, Aidan F. Wood. 2026-07-21. A spacetime positive mass theorem with corners via mollification. https://arxiv.org/abs/2607.19320

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