Abstract
We analyse the stability of the (ground state) Bartnik-McKinnon solution of the Einstein-Yang-Mills equations in the frame-work of small time-dependent perturbations. It is shown that the frequency spectrum of a class of radial perturbations is determined by the spectrum of a radial p-wave Schrödinger equation with a bounded effective potential. Bound states of this Schrödinger equation correspond to exponentially growing radial modes and it turns out that there is exactly one such bound state.
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