The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
Differential Geometry
2026-05-20 v2 General Relativity and Quantum Cosmology
Analysis of PDEs
Abstract
Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloidal initial data sets in arbitrary dimensions.
Keywords
Cite
@article{arxiv.2604.24746,
title = {The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions},
author = {Sven Hirsch and Marcus Khuri and Martin Lesourd and Yiyue Zhang},
journal= {arXiv preprint arXiv:2604.24746},
year = {2026}
}
Comments
32 pages; improved exposition