High-Frequency Gravitational Waves from Hairy Black Holes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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5 pages in REVTEX. To appear in the proceedings of the XXXIV-th Rencontres de Moriond on "Gravitational Waves and Experimental

Scientific paper

We investigated the stability of the spherically symmetric non-abelian (Bartnik-McKinnon) black hole solution of the SU(2) Einstein-Yang-Mills system using the multiple-scale analysis. It is found, in contrast with the vacuum situation, that a spherically symmetric oscillatory perturbation to second order cannot be constructed. The singular behavior of gravitational waves is induced by the coupling of the gravitational waves to the Yang-Mills waves.

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