Density and Positive Mass Theorems for Initial Data Sets with Boundary

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 les...

Full description

Saved in:
Bibliographic Details
Published in:Communications in mathematical physics 2022-10, Vol.395 (2), p.643-677
Main Authors: Lee, Dan A., Lesourd, Martin, Unger, Ryan
Format: Article
Language:English
Subjects:
Asymptotic properties
Classical and Quantum Gravitation
Complex Systems
Datasets
Density
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theorems
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 8 without a spin assumption.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-022-04439-1