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On the stability of soliton and hairy black hole solutions of ${\mathfrak {su}}(N)$ Einstein-Yang-Mills theory with a negative cosmological constant

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Figure

FIG. 1. Example nodeless solutions for su(3) EYM with Λ = −10. In each case we plot the gauge
FIG. 2. Example nodeless solutions for su(4) EYM with Λ = −10. In each case we plot the gauge
FIG. 3. −W1(r) and −W2(r) for the example nodeless su(3) solutions shown in figure 1, (a) soliton

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