论文标题
标量的爱因斯坦 - 加斯 - 鲍尼特黑洞的轴向扰动
Axial perturbations of the scalarized Einstein-Gauss-Bonnet black holes
论文作者
论文摘要
我们研究了爱因斯坦 - 加斯 - 邦纳特（EGB）理论中自发标明的黑洞的轴向扰动。我们考虑[1]中研究模型的基本分支的无节结合解决方案，该区域具有径向稳定的构型区域，如[2]所示。在这里，我们表明，在轴向扰动下，几乎所有径向稳定的黑洞也稳定。当轴向电势不再严格呈阳性时，我们使用S形式方法来显示稳定性。至于径向扰动，对于固定耦合常数而言，双曲线损失以下低于特定的临界地平线。在稳定区域中，我们按时间演化确定了准模式的光谱，并通过解决相关时间独立的特征值问题。
We study the axial perturbations of spontaneously scalarized black holes in Einstein-Gauss-Bonnet (EGB) theories. We consider the nodeless solutions of the fundamental branch of the model studied in [1], which possesses a region of radially stable configurations, as shown in [2]. Here we show that almost all of the radially stable black holes are also stable under axial perturbations. When the axial potential is no longer strictly positive, we make use of the S-deformation method to show stability. As for the radial perturbations, hyperbolicity is lost below a certain critical horizon size for a fixed coupling constant. In the stable region, we determine the spectrum of the quasinormal modes by time evolution and by solving the associated time-independent eigenvalue problem.
