Instability of infinitely many stationary solutions of the su(2) Yang-Mills fields on the exterior of the Schwarzschild black holes

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• Cécile Huneau , Université Grenoble-Alpes
• Monday 16 April 2018, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Ivan Moyano.

Yang-Mills fields coupled to Einstein equations have a particular interest, because they possess a wide family of stationary spherically symmetric solutions : some are smooth and some are the exterior of a black hole. A lot of numerical studies have been done on the subject, and these exotic solutions seem to be unstable. However no analytic proof of this fact is known for the moment. In this talk, I will present the uncoupled problem of su(2) Yang-Mills field on the exterior of a fixed Schwarzschild black holes with spherical symmetry. It is already a nonlinear problem and there also exists infinitely many stationary solutions, that we show to be linearly and non linearly unstable. This is a joint work with Dietrich Häfner.

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

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