Jonathan Luk- Singularities in General Relativity

Jonathan Luk- Singularities in General Relativity

International Mathematical Union via YouTube Direct link

Example: geodesically incomplete but non-singular

10 of 24

10 of 24

Example: geodesically incomplete but non-singular

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Classroom Contents

Jonathan Luk- Singularities in General Relativity

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

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