Description (de)
Summer School »Between Geometry and Relativity«
Mitschnitt einer Veranstaltung des Internationalen Erwin Schrödinger Instituts für Mathematik und Physik (ESI) am Dienstag, dem 18. Juli 2017 im Lise Meitner-Hörsaal der Fakultät für Physik
Teil 7: Justin Corvino: Constructing Initial Data for Einstein Equations 3
Kamera: Lilian Nowak, Johannes Sauer, Daniel Winkler
Schnitt: Daniel Winkler
Abstract: Initial data sets for the Einstein equation must satisfy a nonlinear elliptic system, the Einstein constraint equations. We formulate the constraint equations in the context of initial data sets, and develop methods to produce solutions of these equations. In particular, we will discuss interesting solutions which can be constructed by gluing techniques. Such techniques can be used for connecting multiple initial data sets, or for understanding the asymptotic structure of isolated systems.
Justin Corvino ist Professor am Department of Mathematics des Lafayette College (Pennsylvania, USA).
INHALT
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Kapitel Titel Position
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1. Vorspann 00:00:00
2. More on the conformal method 00:00:10
3. Conformal Killing vectors 00:12:42
4. A theorem on the Lichnerowicz equation 00:26:05
5. Solving the constraints by gluing 00:31:38
6. Scalar curvature gluing 00:48:45