Mass and 3-metrics of non-negative scalar curvature

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dc.creatorBartnik, Robert
dc.date2003-04-18
dc.date.accessioned2026-07-07T04:57:02Z
dc.date.available2026-07-07T04:57:02Z
dc.descriptionPhysicists 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).
dc.identifierhttps://arxiv.org/abs/math/0304259
dc.identifierhttp://arxiv.org/abs/math/0304259
dc.identifierProceedings of the ICM, Beijing 2002, vol. 2, 231--240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67133
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C99, 83C57
dc.titleMass and 3-metrics of non-negative scalar curvature
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