Prof. Dr. Jan Metzger, Prof. Dr. Dirk Kreimer
26.10.2010, 16:00 Uhr – 19:00 Uhr
Geometry of isolated systems in General Relativity
Prof. Dr. Jan Metzger
26.10.2010, 16:00 Uhr – 17:00 Uhr
I will describe the interaction of geometric and physical properties in initial data sets for General Relativity. I will mostly consider isolated systems which can be modelled by asymptotically flat manifolds. The general question is how physical parameters like mass and linear momentum interact
with geometrically defined objects near infinity. One possibility I consider are foliations of surfaces satisfying certain geometric PDEs. Alternatively, studying the asymptotic behavior of geometrically defined variational problems
such as the isoperimetric profile or the behaviour of the Wilmore energy for surfaces near infinity yields physical information.