We study the polar quasinormal modes of spontaneously scalarized black holes in Einstein-Gauss-Bonnet theory. In previous works we showed that a set of nodeless solutions of the fundamental branch of the model studied in are stable under both radial and axial perturbations . {Here we calculate the polar quasinormal modes and show that this set of solutions is stable against the polar perturbations as well. Thus for a certain region of the parameter space the scalarized black holes are potentially stable physically interesting objects. The spectrum of the polar quasinormal modes differs both quantitatively and qualitatively from the Schwarzschild one which offers the possibility to test the Gauss-Bonnet theory via the future gravitational wave observations.

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标量的爱因斯坦-高斯-帽子黑洞的极准准模式

我们用爱因斯坦-高斯-邦尼理论研究自发标量黑洞的极准准正态模。在以前的工作中，我们证明了所研究模型的基本分支的一组无节点解在径向和轴向扰动下都是稳定的。{在这里，我们计算了极准准正态模，并表明这组解对极微扰动也是稳定的。因此，对于参数空间的某个区域，标量黑洞是潜在稳定的物理有趣对象。极准准模式的频谱在数量和质量上都与Schwarzschild模式不同，后者为通过未来的引力波观测来检验高斯-邦尼理论提供了可能性。