1. Stability of Kerr
(M,g) R__ -1/2 R g __= 0
Are Kerr solutions unique among all stationary solutions ? ELLIPTIC
Do solutions to the linear wave equation on a Kerr (Schwartzschild) background decay outside the event horizon ? At what rate ?
Cosmic Censorship
RELATED OPEN PROBLEMS
Any small perturbation of the initial data set of a Kerr space-time has a global future development which behaves asymptotically like (another) Kerr solution.
CONJECTURE
Compatible
with weak
cosmic censorship
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