260049 VO Relativity III (2020S)

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: English

Examination dates

Monday 20.07.2020 Friday 09.10.2020 Tuesday 03.11.2020 Monday 07.12.2020 Monday 12.04.2021

Lecturers

David Miro Fajman

Classes (iCal) - next class is marked with N

    
    Monday
    04.05.
    17:15 - 19:25
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Thursday
    07.05.
    17:15 - 19:25
    Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
    
    Monday
    11.05.
    17:15 - 19:25
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Thursday
    14.05.
    17:15 - 19:25
    Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
    
    Monday
    18.05.
    17:15 - 19:25
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    25.05.
    17:15 - 19:25
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Thursday
    28.05.
    17:15 - 19:25
    Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
    
    Thursday
    04.06.
    17:15 - 19:25
    Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
    
    Monday
    08.06.
    17:15 - 19:25
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    15.06.
    17:15 - 19:25
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Thursday
    18.06.
    17:15 - 19:25
    Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
    
    Monday
    22.06.
    17:15 - 19:25
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Thursday
    25.06.
    17:15 - 19:25
    Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien

Information

Aims, contents and method of the course

The lecture presents the Cauchy problem for the Einstein Equations. Necessary elements of Geometric Analysis and Differential Geometry will be covered. Based on this we introduce the interpretation of the Einstein Equations as a geometric flow and present a local existence theory of solutions. The aim of this course is to present the proof of nonlinear stability of various cosmological spacetimes rigorously.

The lecture does not necessarily require attendance of Relativity II, which can be attended in parallel. PDEs and Differential geometry are no necessary prerequisites. Students with less experience in these topics need to accept certain theorems from those fields without proofs. This will not affect their understanding of the lecture.
Additional literature will be provided in the lecture.

Assessment and permitted materials

short oral exam at the end of the semester

Minimum requirements and assessment criteria

Demonstrate understanding of the proofs of stability of various cosmological spacetimes.

Examination topics

material from the lectures

Reading list

The Cauchy problem in General Relativity by Hans Ringström, EMS
Partial Differential Equations in General Relativity, Alan Rendall, Oxford U Press
3+1 Formalism in General Relativity, Éric Gourgoulhon

Association in the course directory

M-VAF A 2, M-VAF B, MaG 20

Last modified: Tu 09.03.2021 11:29