E. Winstanley, Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant, CLASS QUANT, 16(6), 1999, pp. 1963-1978
we consider black holes in Einstein-Yan-Mills theory with a negative cosmol
ogical constant. The solutions obtained are somewhat different from those f
or which the cosmological constant is either positive or zero. Firstly, reg
ular black hole solutions exist for continuous intervals of the parameter s
pace, rather than discrete points. Secondly, there are non-trivial solution
s in which the gauge field has no nodes. We show that these solutions are l
inearly stable.