High-Frequency Gravitational Waves from Hairy Black Holes

Abstract

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.

5 pages in REVTEX. To appear in the proceedings of the XXXIV-th Rencontres de Moriond on "Gravitational Waves and Experimental Gravity", Les Arcs, France [January 23-30, 1999]