克尔-反德西特黑洞无质量玻色子与费米子微扰的动力学潮汐响应与洛夫数
Dynamical Tidal Response and Love Numbers of Massless Bosonic and Fermionic Perturbations of Kerr--Anti-de Sitter Black Holes
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中文总结 AI 辅助
该研究运用Teukolsky形式主义，计算克尔-反德西特黑洞无质量微扰的潮汐洛夫数，发现其因负宇宙学常数产生非平凡潮汐响应，还分析了响应系数对黑洞参数的依赖。
中文摘要 AI 辅助
我们在真空背景下运用Teukolsky形式主义研究克尔-反德西特（Kerr--Anti-de Sitter）黑洞的潮汐响应，考虑自旋权重s=0、±1/2、±1、±3/2、±2的无质量微扰，分别对应标量、费米子、电磁和引力微扰。我们采用近地平线近似确定潮汐洛夫数。对于广义相对论中渐近平直的黑洞，保守潮汐响应完全消失；与之相反，我们发现克尔-反德西特黑洞中存在负宇宙学常数参数，会产生非平凡的潮汐响应，包含保守与耗散两种贡献。我们系统研究克尔-反德西特黑洞的静态与动力学潮汐响应，尤其考察保守和耗散响应系数的行为，探究它们对黑洞旋转参数和反德西特曲率标度的依赖关系。
英文摘要
We examine the tidal response of Kerr--Anti-de Sitter black holes using the Teukolsky formalism in a vacuum background. We consider massless perturbations with spin weights $s = 0,\ \pm\frac{1}{2},\ \pm1,\ \pm\frac{3}{2},\ \pm2$, corresponding to scalar, fermionic, electromagnetic, and gravitational perturbations, respectively. We determine the Tidal Love number using the near-horizon approximation. For asymptotically flat black holes in general relativity, the conservative tidal response vanishes identically. In contrast, we find that the presence of a negative cosmological constant parameter in the Kerr--Anti-de Sitter black holes leads to a non-trivial tidal response, containing both conservative and dissipative contributions. We systematically study the static and dynamical tidal responses of Kerr--Anti-de Sitter black holes. In particular, we examine the behaviour of the conservative and dissipative response coefficients and investigate their dependence on the black-hole rotation parameter and the AdS curvature scale.
