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Reformulation of the linear stability theorem
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Classroom Contents
The Nonlinear Stability of the Schwarzschild Metric Without Symmetry - Mihalis Dafermos
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- 1 Intro
- 2 The nonlinear stability of the Schwarzschild metric without symmetry
- 3 Plan of the Lecture
- 4 The Schwarzschild family
- 5 The stability question
- 6 The main theorem (first version)
- 7 Kerr spacetime
- 8 The main theorem (second version)
- 9 Linear stability of Schwarzschild
- 10 The linear theorem in double null gauge
- 11 Aside: the linear theorem in (generalised) harmonic gauge
- 12 Step 1: Gauge invariant quantities
- 13 Boundedness and decay for Teukolsky
- 14 Wave equation on Kerr
- 15 Aside: mode stability for wave and Teukolsky on la s M
- 16 Proof of decay for Teukolsky on Schwarzschild
- 17 Aside: proof of decay for Teukolsky on Kerr
- 18 Step 2: from Teukolsky to the full system
- 19 The Einstein equations in double null gauge
- 20 The linearised equations
- 21 Recall: What does "linear stability" mean?
- 22 The Schwarzschild and fixed mass Kerr modes
- 23 Reformulation of the linear stability theorem
- 24 Nonlinear difficulties
- 25 role of double null gauge
