Instability Proof for Einstein-Yang-Mills Solitons and Black Holes with Arbitrary Gauge Groups
Othmar Brodbeck, Norbert Straumann
Abstract
We prove that static, spherically symmetric, asymptotically flat soliton and black hole solutions of the Einstein-Yang-Mills equations are unstable for arbitrary gauge groups, at least for the ``generic" case. This conclusion is derived without explicit knowledge of the possible equilibrium solutions.
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