Mass and 3-metrics of non-negative scalar curvature
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Physicists believe, with some justification, that there should be a correspondence between familiar properties of Newtonian gravity and properties of solutions of the Einstein equations. The Positive Mass Theorem (PMT), first proved over twenty years ago \cite{SchoenYau79b,Witten81}, is a remarkable testament to this faith. However, fundamental mathematical questions concerning mass in general relativity remain, associated with the definition and properties of quasi-local mass. Central themes are the structure of metrics with non-negative scalar curvature, and the role played by minimal area 2-spheres (black holes).
Keywords
Cite
@article{arxiv.math/0304259,
title = {Mass and 3-metrics of non-negative scalar curvature},
author = {Robert Bartnik},
journal= {arXiv preprint arXiv:math/0304259},
year = {2007}
}