Workshop »Advances in General Relativity« Mitschnitt einer Veranstaltung des Internationalen Erwin Schrödinger Instituts für Mathematik und Physik (ESI) am Dienstag, dem 29. August 2017 im Boltzmann-Hörsaal des Internationalen Erwin Schrödinger Instituts für Mathematik und Physik (ESI) Teil 6: Anna Sakovich: On geometric foliations and center of mass for isolated systems in general relativity Kamera: Johannes Sauer, Daniel Winkler Schnitt: Daniel Winkler Abstract: While the concepts of mass and linear momentum are by now well-established in mathematical general relativity, it is not entirely clear whether the existing notions of center of mass are the ultimate ones. In this talk we introduce a novel geometric foliation of an initial data set and discuss its connections to and\ advantages over the existing approaches to defining the center of mass of an isolated system. This is joint work with Carla Cederbaum and Julien Cortier. Anna Sakovich arbeitet am Department of Mathematics der Universität Uppsala. INHALT ====== Kapitel Titel Position --------------------------------------------------------------------- 1. Vorspann 00:00:00 2. Geometric approach to Newtonian gravity 00:00:10 3. Center of mass in General Relativity 00:11:23 4. Theorem by Huisken and Yau 00:19:53 5. Theorem by Metzger, Huang and others 00:27:00 6. Foliations by surfaces of constant mean curvature 00:35:25 7. Existence of unique foliation 00:42:58 8. Future goals 00:53:58

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