Tilted spacetime positive mass theorem with arbitrary ends
General Relativity and Quantum Cosmology
2023-11-28 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2311.15252,
title = {Tilted spacetime positive mass theorem with arbitrary ends},
author = {Daoqiang Liu},
journal= {arXiv preprint arXiv:2311.15252},
year = {2023}
}
Comments
19 pages, 3 figures. Comments are welcome!