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Explore a fascinating lecture on the construction of metrics describing Kerr black holes traveling along timelike geodesics in smooth globally hyperbolic spacetimes. Delve into the intricacies of Einstein vacuum equations and learn about formal solutions that satisfy field equations modulo O(ε^N) for all N. Discover the special case of subextremal Kerr or Kerr-de Sitter black hole spacetimes and how they relate to extreme mass ratio mergers in perturbation theory. This 58-minute talk, presented by Peter Hintz at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI), was part of the Workshop on "Mathematical Relativity: Past, Present, Future" held in December 2023.
