标题： 低阶$U(1)$规范不变纯量-向量-张量理论中带电黑洞的线性扰动 显示英文标题

标题： Linear perturbations of dyonic black holes in the lowest-order $U(1)$ gauge-invariant scalar-vector-tensor theories

摘要： 我们研究了在带有电荷和磁荷以及标量毛的静态球对称背景上的线性扰动，这些背景是磁单黑洞解，在最低阶的 $U(1)$ 规范不变的标量-矢量-张量理论中。 背景解中磁荷的存在导致奇数宇称和偶数宇平扰动部分之间混合，这使得无法单独分析每个部分。 因此，我们将作用量展开到奇数宇称和偶数宇称扰动的二阶，并推导出不存在鬼场和拉普拉斯不稳定性的普遍条件。 我们将这些普遍条件应用于扩展的爱因斯坦-麦克斯韦理论，该理论包含了文献中已知具有标量毛的磁单黑洞解的各种具体模型，并检查它们的稳定性。 我们用于研究扰动稳定性和动力学的一般框架可以应用于各种理论，包括非线性电动力学与标量场耦合的情况，也可以应用于黑洞准正规模态的计算。 显示英文摘要

摘要： We study linear perturbations on top of the static and spherically symmetric background of dyonic black hole solutions endowed with electric and magnetic charges, as well as a scalar hair, in the lowest-order $U(1)$ gauge-invariant scalar-vector-tensor theories. The presence of magnetic charges in the background solutions gives rise to a mixing between the odd-parity and even-parity sectors of perturbations, which makes it impossible to analyze each sector separately. Thus, we expand the action up to second order in both odd-parity and even-parity perturbations and derive the general conditions for the absence of ghosts and Laplacian instabilities. We apply these general conditions to extended Einstein-Maxwell theories, which encompass a wide variety of concrete models from the literature known to have dyonic black hole solutions with the scalar hair, and examine their stabilities. Our general framework for studying stability conditions and dynamics of perturbations can be applied to a wide variety of theories, including nonlinear electrodynamics coupled to a scalar field, as well as to calculations of black hole quasinormal modes.