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Stefanos Aretakis - Topics in mathematical general relativity II - IPAM at UCLA

Recorded 21 September 2021. Stefanos Aretakis of the University of Toronto presents "Topics in mathematical general relativity II" at IPAM's Mathematical and Computational Challenges in the Era of Gravitational Wave Astronomy Tutorial. Abstract: In the second lecture, we will present the black hole stability problem. We will present the model problem of the linear wave equation and discuss the main difficulties that appear in its analysis. We will present results for both the extremal and the subextremal case and explain the role of the Newman-Penrose constants. We will also present the main non-linear results in this direction. Learn more online at: http://www.ipam.ucla.edu/programs/wor...