Recent Progress in General Relativity

Recent Progress in General Relativity

International Mathematical Union via YouTube Direct link

Non-linear stability (A -0)

14 of 18

14 of 18

Non-linear stability (A -0)

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Classroom Contents

Recent Progress in General Relativity

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  1. 1 Intro
  2. 2 General Relativity I: Lorentzian manifolds
  3. 3 General Relativity II: The Einstein Equations (1915)
  4. 4 The "fundamental theorem" of general relativity
  5. 5 Writing the EVE as a well-posed system of PDES
  6. 6 Exact solutions I: The maximally symmetric solutions
  7. 7 Stability of the maximally symmetric solutions I: A20
  8. 8 Stability of the maximally symmetric solutions II: ACOL
  9. 9 Exact solutions lla: Black hole solutions
  10. 10 Perturbations of black holes
  11. 11 Toy stability 1: decay
  12. 12 Toy stability II: asymptotics, lower bounds
  13. 13 Some ideas and techniques in the proofs
  14. 14 Non-linear stability (A -0)
  15. 15 Comments about the proof
  16. 16 Non-linear stability (A 0)
  17. 17 A quick glance at the dark side I: the black hole interior
  18. 18 Other developments II: many-black-hole spacetimes

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