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