Mass and 3-metrics of non-negative scalar curvature
Bartnik, Robert
arXiv, 0304259 / Harvested from arXiv
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).
Publié le : 2003-04-18
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53C99, 83C57
@article{0304259,
     author = {Bartnik, Robert},
     title = {Mass and 3-metrics of non-negative scalar curvature},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0304259}
}
Bartnik, Robert. Mass and 3-metrics of non-negative scalar curvature. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304259/