发表机构
Università di Pisa; INFN, Sezione di Pisa; Kindai University; RIKEN iTHEMS; Johns Hopkins University（比萨大学; 意大利国家核物理研究所比萨分部; 近畿大学; 理化学研究所 iTHEMS; 约翰斯·霍普金斯大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究采用Heun函数表示与超几何函数展开两种技术计算克尔-德西特黑洞准正则模的激发因子，发现其谱存在奇异点，奇异点附近模式有滞后现象且激发因子增强，小宇宙学常数下与克尔极限结果吻合。
AI 中文摘要
我们采用两种不同技术计算克尔-德西特黑洞准正则模的激发因子：一是Heun函数表示，二是超几何函数展开的解。不同泛音复频率重合的奇异点是克尔-德西特准正则模谱的普遍特征。奇异点附近，该模式呈现此前在大质量场扰动克尔黑洞中发现的“滞后现象”，各模式激发因子的绝对值显著增强，且获得近乎相反的相位。我们将激发因子外推至宇宙学常数的小值，发现其与克尔极限下的先前计算结果吻合良好。
英文摘要
We compute the excitation factors of Kerr-de Sitter black hole quasinormal modes using two different techniques: a Heun function representation and an expansion of the solution in terms of hypergeometric functions. Exceptional points at which the complex frequencies of different overtones coincide are a generic feature of the Kerr-de Sitter quasinormal mode spectrum. Near exceptional points, the modes exhibit a "hysteresis phenomenon" that was previously found for Kerr black holes perturbed by massive fields and the absolute value of the excitation factors of the individual modes is significantly enhanced, while they acquire nearly opposite phases. We extrapolate the excitation factors to small values of the cosmological constant and find good agreement with previous calculations in the Kerr limit.
Comments20 pages, 14 figures
