Density and positive mass theorems for initial data sets with boundary
Differential Geometry
2022-11-14 v2 General Relativity and Quantum Cosmology
Abstract
We prove a harmonic asymptotics density theorem for asymptotically flat initial data sets with compact boundary that satisfy the dominant energy condition. We use this to settle the spacetime positive mass theorem, with rigidity, for initial data sets with apparent horizon boundary in dimensions less than without a spin assumption.
Cite
@article{arxiv.2112.12017,
title = {Density and positive mass theorems for initial data sets with boundary},
author = {Dan A. Lee and Martin Lesourd and Ryan Unger},
journal= {arXiv preprint arXiv:2112.12017},
year = {2022}
}
Comments
33 pages. Published version in Comm. Math. Phys