Instability of infinitely many stationary solutions of the SU(2)   Yang-Mills fields on the exterior of the Schwarzschild black hole
  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. 
Dietrich H\"afner, C\'ecile Huneau
math.AP