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Linear stability of charged rotating black holes

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Perhaps the most striking prediction of general relativity is the existence of black holes – regions of spacetime where the gravitational field is so strong that nothing can escape. Once a black hole has formed, it is expected to be stable. Providing a mathematical proof of the stability of black holes is one of the most important open problems in general relativity. In the journey towards resolution of this nonlinear stability problem, the first step is the study of an associated linearised problem. In this talk, I will present my recent results concerning the linear stability of charged rotating black holes, as modelled by subextremal Kerr-Newman spacetimes. The stability of this family of spacetimes is of special interest as it is closely related to the plausibility of the concept of a black hole.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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