Math @ Duke

Publications [#214844] of Carla Cederbaum
Papers Accepted
 Carla Cederbaum, Geometrostatics: the geometry of static spacetimes,
Conference Proceedings "Relativity and Gravitation  100 years after Einstein in Prague"
, accepted 2012 [arXiv:1210.4436]
(last updated on 2013/01/15)
Abstract: We present a new geometric approach to the study of static isolated general relativistic systems for which we suggest the name geometrostatics. After describing the setup, we introduce localized formulas for the ADMmass and ADM/CMCcenter of mass of geometrostatic systems. We then explain the pseudoNewtonian character of these formulas and show that they converge to Newtonian mass and center of mass in the Newtonian limit, respectively, using Ehlers' frame theory. Moreover, we present a novel physical interpretation of the level sets of the canonical lapse function and apply it to prove uniqueness results. Finally, we suggest a notion of force on test particles in
geometrostatic spacetimes.


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