AI 中文总结
本文利用Heun连接公式解析研究Kerr-Newman-de Sitter时空的准正规模，推导出小宇宙学常数、近极端和近Nariai极限下的谱及非整数幂修正。
AI 中文摘要
我们研究Kerr-Newman-de Sitter时空中由Teukolsky方程支配的准正规模，形式上把自旋权重和场电荷视为任意参数。我们使用通过经典共形块表达的精确Heun连接公式。我们解析地推导了小宇宙学常数、近极端和近Nariai极限下的准正规模谱。在小宇宙学常数极限下，我们获得了领先的带电de Sitter谱及其次领头修正。在小宇宙学常数和近极端两种极限下，求解超越领头极点近似的完整连接条件会产生准正规模频率的普遍非整数幂修正，而在近Nariai极限中则没有类似的修正出现。我们还分析了角向本征值问题，作为同一连接公式方法的示例。
英文摘要
We study quasinormal modes governed by the Teukolsky equation in Kerr-Newman-de Sitter spacetime, formally treating the spin weight and field charge as arbitrary parameters. We use exact Heun connection formulae expressed through classical conformal blocks. We analytically derive the quasinormal mode spectra in the small cosmological constant, near-extremal, and near-Nariai limits. In the small cosmological constant limit, we obtain the leading charged de Sitter spectrum together with its subleading corrections. In both the small cosmological constant and near-extremal limits, solving the full connection condition beyond the leading pole approximation gives rise to generically noninteger-power corrections to the quasinormal mode frequencies, whereas no analogous correction appears in the near-Nariai limit. We also analyze the angular eigenvalue problem as an illustration of the same connection-formula method.
Comments45 pages, 1 figure
