A positive mass theorem for low-regularity metrics
Differential Geometry
2012-05-08 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We prove a positive mass theorem for continuous Riemannian metrics in the Sobolev space . We argue that this is the largest class of metrics with scalar curvature a positive a.c. measure for which the positive mass theorem may be proved by our methods.
Cite
@article{arxiv.1205.1302,
title = {A positive mass theorem for low-regularity metrics},
author = {James D. E. Grant and Nathalie Tassotti},
journal= {arXiv preprint arXiv:1205.1302},
year = {2012}
}
Comments
Announcement, 4 pages, comments welcome