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Explore the renowned black hole stability conjecture in this 47-minute lecture from the Thematic Programme on "Nonlinear Waves and Relativity" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the Kerr family of metrics and their stability as solutions to Einstein's vacuum equations in general relativity. Trace the historical development of this problem and examine recent advancements in resolving the conjecture for black holes with small angular momentum. Gain insights into the intricate relationship between nonlinear waves, relativity, and the stability of black hole solutions in this advanced physics talk.
