A spacetime positive mass theorem with corners via mollification

Hyun Chul Jang; Aidan F. Wood

A spacetime positive mass theorem with corners via mollification

Differential Geometry 2026-07-21 v1 General Relativity and Quantum Cosmology

Authors: Hyun Chul Jang , Aidan F. Wood

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 $n \ge 3$ .

Cite

@article{arxiv.2607.19320,
  title  = {A spacetime positive mass theorem with corners via mollification},
  author = {Hyun Chul Jang and Aidan F. Wood},
  journal= {arXiv preprint arXiv:2607.19320},
  year   = {2026}
}