INSTABILITY OF INFINITELY-MANY STATIONARY SOLUTIONS OF THE SU (2) YANG-MILLS FIELDS ON THE EXTERIOR OF THE SCHWARZSCHILD BLACK HOLE

Dietrich Häfner (1) , Cécile Huneau (2, 3, 1)

1 IF - Institut Fourier
2 CMLS - Centre de Mathématiques Laurent Schwartz
3 CNRS - Centre National de la Recherche Scientifique

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.

Domaines: Equations aux dérivées partielles [math.AP]

Dietrich Häfner, Cécile Huneau. INSTABILITY OF INFINITELY-MANY STATIONARY SOLUTIONS OF THE SU (2) YANG-MILLS FIELDS ON THE EXTERIOR OF THE SCHWARZSCHILD BLACK HOLE. 2018. ⟨hal-01709734⟩