Tilted spacetime positive mass theorem with arbitrary ends

Daoqiang Liu

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arXiv · 2311.15252

Tilted spacetime positive mass theorem with arbitrary ends

Daoqiang Liu

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Abstract

In this paper, we prove the spacetime positive mass theorem for asymptotically flat spin initial data sets with arbitrary ends and a non-compact boundary. Moreover, we demonstrate a quantitative shielding theorem, subject to the tilted boundary dominant energy condition. Our results are established by solving a mixed boundary value problem for the Dirac-Witten operator with a Callias potential.

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Daoqiang Liu. 2023-11-26. Tilted spacetime positive mass theorem with arbitrary ends. https://arxiv.org/abs/2311.15252

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