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

1994/07/12 by Othmar Brodbeck, Brodbeck, Othmar, Norbert Straumann +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9407009

18 pages, Latex, ZU-TH 19/94

arxiv created 1994/07/12 · openalex publication_date 1994/07/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that static, spherically symmetric, asymptotically flat, regular 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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