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

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

1994-11-22

arxiv.org/abs/gr-qc/9411058v1

J.Math.Phys.37:1414-1433,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, LATEX, no figures

Scientific paper

10.1063/1.531441

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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