Title (deu)

Summer School »Between Geometry and Relativity«. Teil 2: Justin Corvino: Constructing Initial Data for Einstein Equations 1


  Österreichische Zentralbibliothek für Physik


Summer School »Between Geometry and Relativity«

Mitschnitt einer Veranstaltung des Internationalen Erwin Schrödinger Instituts für Mathematik und Physik (ESI) am Montag, dem 17. Juli 2017 im Lise Meitner-Hörsaal der Fakultät für Physik

Teil 2: Justin Corvino: Constructing Initial Data for Einstein Equations 1

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).


Kapitel Titel Position
1. Vorspann 00:00:00
2. Overview 00:00:10
3. Curvature conventions. The Einstein equation 00:07:38
4. Characterization of scalar curvature 00:15:12
5. The second fundamental form 00:23:00
6. The Gauss equation. Constraint equations 00:28:57
7. Deriving the constraint equations 00:41:57
8. Examples: Minkowski space-time 00:50:42

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ÖFOS 2002 -- NATURAL SCIENCES (1) -- Physics, Mechanics, Astronomy (12) -- Theory of relativity (1218)

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