Title (deu)

Summer School »Between Geometry and Relativity«. Teil 22: David Fajman: Dynamics of General Relativity 4

Publisher

  Österreichische Zentralbibliothek für Physik

Description

Summer School »Between Geometry and Relativity«

Mitschnitt einer Veranstaltung des Internationalen Erwin Schrödinger Instituts für Mathematik und Physik (ESI) am Freitag, dem 21. Juli 2017 im Lise Meitner-Hörsaal der Fakultät für Physik

Teil 22: David Fajman: Dynamics of General Relativity 4

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.

INHALT
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Kapitel Titel Position
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1. Vorspann 00:00:00
2. Recalling. Rescaling the variables 00:00:10
3. Perturbed quantities compared to the background 00:08:53
4. Elliptic estimates 00:17:06
5. Energy tensor for the wave equation. Conclusion 00:25:25

Object languages

English

Date

2017-07-21

Rights

© All rights reserved

(c) Österreichische Zentralbibliothek für Physik

Classification

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

Member of the Collection(s) (2)