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How general are singularities?
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Classroom Contents
Jonathan Luk- Singularities in General Relativity
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- 1 Intro
- 2 General relativity: Lorentzian geometry
- 3 General relativity: Einstein equation
- 4 Fundamental theorem of general relativity
- 5 Minkowski spacetime
- 6 The Schwarzschild spacetime
- 7 How general are singularities?
- 8 Construction of Schwarzschild-like singularities
- 9 Penrose's theorem
- 10 Example: geodesically incomplete but non-singular
- 11 Asymptotically flat initial data
- 12 The Kerr spacetime
- 13 Strong cosmic censorship conjecture
- 14 Stability of Kerr exterior
- 15 Blue shift instability
- 16 Spacelike singularity conjecture
- 17 Singularity structure for perturbations of Kerr?
- 18 Stability of the Kerr Cauchy horizon
- 19 The Reissner-Nordström spacetime
- 20 Solutions arising from spherically symmetric data
- 21 Weak null singularities and an instability conjecture
- 22 Formation of trapped surface in vacuum
- 23 Black hole spacetimes arising from gravitational collapse
- 24 Breakdown of weak null singularities?
