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

Abstract

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, ${\omega }_{\mathrm{R}}\sim D/r_{+}$, also exists between the real part of the quasinormal mode frequencies ${\omega }_{\mathrm{R}}$ and the number of dimensions $D$ in the higher than five dimensional Einstein-Yang-Mills black holes.

v1: 10 pages, 7 figures, 2 tables; v2: clarifications added and typos corrected; v3: 13 pages, 11 figures, clarifications and references added, final version to appear in Phys. Rev. D

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