Instability Proof for Einstein-Yang-Mills Solitons and Black Holes with Arbitrary Gauge Groups

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.

26 pages, LATEX, no figures

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