具有高阶相互作用的带电黑洞的微扰

中文摘要 AI 辅助

我们研究了在爱因斯坦-希尔伯特作用量存在高阶修正的情况下，电量和磁量带电黑洞的线性引力微扰及相应的准正则模谱。具体而言，我们考虑了一种四导数相互作用，该相互作用以独特的（Horndeski）组合将黎曼张量与电磁场强度耦合，从而保持二阶运动方程。我们对稳定性条件进行了全面分析。我们数值确认，在整个物理上允许的参数空间区域内（该理论在此区域内无病态），不存在指数增长的模式。随后，我们详细研究了准正则模谱的性质，并识别出由高阶相互作用引起的若干显著特征。

英文摘要

We study linear gravitational perturbations and the corresponding quasinormal-mode spectra of electrically and magnetically charged black holes in the presence of higher-order corrections to the Einstein-Hilbert action. In particular, we consider a four-derivative interaction that couples the Riemann tensor to the electromagnetic field strength in the unique (Horndeski) combination that preserves second-order equations of motion. We provide a comprehensive analysis of the stability conditions. We numerically confirm the absence of exponentially growing modes throughout the physically admissible region of parameter space where the theory remains free of pathologies. We then investigate in detail the properties of the quasinormal-mode spectra and identify several distinctive features induced by the higher-order interaction.

发表机构

• Institute of Cosmology, Department of Physics and Astronomy, Tufts University（塔夫茨大学物理与天文学系宇宙学研究所）
• Black Hole Initiative, Department of Physics, Harvard University（哈佛大学物理系黑洞倡议中心）
• Research Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava（俄帕瓦西里西亚大学物理所理论物理与天体物理学研究中心）

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