The Positive Mass Theorem for Creased Initial Data
Differential Geometry
2025-08-26 v1 General Relativity and Quantum Cosmology
Abstract
We establish a spacetime positive mass theorem and rigidity statement for asymptotically flat spin initial data sets with a codimension one singularity controlled by a matching Bartnik data condition involving spacetime rotations, and discuss applications. This generalizes several previous works on the topic, including results of Miao, Tsang, and Shi-Tam.
Keywords
Cite
@article{arxiv.2508.17585,
title = {The Positive Mass Theorem for Creased Initial Data},
author = {Demetre Kazaras and Marcus Khuri and Michael Lin},
journal= {arXiv preprint arXiv:2508.17585},
year = {2025}
}
Comments
25 pages, 1 figure, comments welcome