Scalar quasinormal modes of black holes in Einstein-Yang-Mills gravity

Quasinormal modes of a scalar field perturbation are investigated in the background spacetime of Einstein-Yang-Mills black holes. The logarithmic term in the metric function of the five-dimensional Einstein-Yang-Mills black hole eliminates the divergence of the Hawking temperature but maintains the charge-dependent behavior of the quasinormal modes. The real and imaginary parts of quasinormal mode frequencies have the same charge-dependent behavior in different dimensions. Similar to the case of high dimensional Schwarzschild black holes, a compact approximate relation, $\omega_{\rm R}\sim D/r_{+}$, also exists between the real part of the quasinormal mode frequencies $\omega_{\rm R}$ and the number of dimensions $D$ in the higher than five dimensional Einstein-Yang-Mills black holes.