Tilted spacetime positive mass theorem with arbitrary ends

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...

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Bibliographic Details
Main Author Liu, Daoqiang
Format Journal Article
LanguageEnglish
Published 26.11.2023
Subjects
Mathematics - Differential Geometry
Physics - General Relativity and Quantum Cosmology
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Summary: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.
DOI:10.48550/arxiv.2311.15252