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arxiv: 1612.06596 · v1 · pith:IC5KORCXnew · submitted 2016-12-20 · 🧮 math.AP

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

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keywords fieldsschwarzschildsolutionsstationaryyang-millsansatzblackcalled
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We consider the spherically symmetric SU(2) Yang-Mills Fields on the Schwarzschild metric. Within the so called purely magnetic Ansatz we show that there exists a countable number of stationary solutions which are all nonlinearly unstable.

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