NON-ABELIAN BLACK-HOLES IN BRANS-DICKE THEORY

We find a black hole solution with a non-Abelian field in Brans-Dicke theory. It is an extension of a non-Abelian black hole in general rela tivity. We discuss two non-Abelian fields: an ''SU(2)'' Yang-Mills fie ld with a mass (Proca field) and the SU(2)X SU(2) Skyrme field. In bot h cases, as in general relativity, there are two branches of solutions , i.e., two black hole solutions with the same horizon radius. The mas ses of both black holes are always smaller than those in general relat ivity. A cusp structure in the mass-horizon radius (M-g-r(h)) diagram, which is a typical symptom of stability change in catastrophe theory, does not appear in the Brans-Dicke frame but is found in the Einstein conformal frame. This suggests that catastrophe theory may be simply applied for a stability analysis as it is if we use the variables in t he Einstein frame. We also discuss the effects of the Brans-Dicke scal ar field on black hole structure.