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Summer School »Between Geometry and Relativity«. Teil 17: David Fajman: Dynamics of General Relativity 2


  Österreichische Zentralbibliothek für Physik


Summer School »Between Geometry and Relativity«

Mitschnitt einer Veranstaltung des Internationalen Erwin Schrödinger Instituts für Mathematik und Physik (ESI) am Donnerstag, dem 20. Juli 2017 im Lise Meitner-Hörsaal der Fakultät für Physik

Teil 17: David Fajman: Dynamics of General Relativity 2

Kamera: Raphael Wos, Viktor Zdrachal
Schnitt: Daniel Winkler

Abstract: The lectures discuss dynamical properties of solutions to the Einstein equations: On a suitable foliation of spacetime the Einstein equations take the form of a geometric flow: a system of hyperbolic PDEs that describes the evolution of a metric and a second fundamental form on a given 3-manifold. We outline one particular approach to resolve the local-existence problem for this geometric flow and apply this to study the global existence problem and stability of some cosmological spacetimes. Eventually, we give an overview on major results and open problems in this area.

David Fajman ist Mitglied der Arbeitsgruppe Gravitationsphysik an der Universität Wien.


Kapitel Titel Position
1. Vorspann 00:00:00
2. The CMC spatial harmonic gauge condition 00:00:10
3. Consequences of the gauge conditions 00:14:26
4. The reduced system 00:20:17
5. Local existence 00:26:45
6. A theorem on CMCSH-reduced Einstein equations 00:40:29
7. Working with smooth solutions 00:50:43

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

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