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SUMMARY:Instability of infinitely many stationary solutions of the su(2) Y
 ang-Mills fields on the exterior of the Schwarzschild black holes - Cécil
 e Huneau \, Université Grenoble-Alpes
DTSTART:20180416T140000Z
DTEND:20180416T150000Z
UID:TALK103060@talks.cam.ac.uk
CONTACT:Ivan Moyano
DESCRIPTION:Yang-Mills fields coupled to Einstein equations have a particu
 lar interest\, because they possess a wide family of stationary sphericall
 y symmetric solutions : some are smooth and some are the exterior of a bla
 ck hole. A lot of numerical studies have been done on the subject\, and th
 ese exotic solutions seem to be unstable. However no analytic proof of thi
 s fact is known for the moment. In this talk\, I will present the uncouple
 d problem of su(2) Yang-Mills field on the exterior of a fixed Schwarzschi
 ld 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 Dietri
 ch Häfner.
LOCATION:CMS\, MR13
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