Wave Equations in Kerr-de Sitter Spacetimes - The Full Subextremal Range

Explore wave equations in Kerr-de Sitter spacetimes across the full subextremal range in this 56-minute lecture by Oliver Petersen at the Erwin Schrödinger International Institute for Mathematics and Physics. Delivered as part of the Thematic Programme on "Spectral Theory and Mathematical Relativity," the talk extends Vasy's 2013 findings on linear wave equations in Kerr-de Sitter spacetimes. Learn about the removal of restrictions on black hole angular momentum, the development of a new Fredholm setup, and fresh analysis of photon trapping around Kerr-de Sitter black holes. Gain insights into the progression from Vasy's initial work to the proof of non-linear stability for slowly rotating Kerr-de Sitter black holes by Hintz and Vasy in 2018. Delve into this collaborative research with Andras Vasy, advancing our understanding of wave equations in complex spacetime structures.