双旋转黑洞的准正规模
Quasi-normal modes for doubly rotating black holes
摘要：
在Chen，Lü和Pope工作的基础上，我们导出了Kerr-（A）dS黑洞的$D\geq 6$维数度规的表达式：$a_1\neq 0, a_2\neq0, a_3=a_4=...=0$ . Klein-Gordon方程则在此背景下明确分离。对于$D\geq 6$，这种分离导致径向方程耦合到两个广义椭球角方程。然后，我们开发了一个完整的数值方法，利用渐近迭代法（AIM）找到径向准正常模式（QNM）的双旋转平坦的迈尔斯-佩里黑洞慢旋转。我们还发展了角量子数的微扰展开式，其幂次为旋转参数的二阶。
英文摘要：
Based on the work of Chen, Lü and Pope, we derive expressions for the $D\geq 6$ dimensional metric for Kerr-(A)dS black holes with two independent rotation parameters and all others set equal to zero: $a_1\neq 0, a_2\neq0, a_3=a_4=...=0$. The Klein-Gordon equation is then explicitly separated on this background. For $D\geq 6$ this separation results in a radial equation coupled to two generalized spheroidal angular equations. We then develop a full numerical approach that utilizes the Asymptotic Iteration Method (AIM) to find radial Quasi-Normal Modes (QNMs) of doubly rotating flat Myers-Perry black holes for slow rotations. We also develop perturbative expansions for the angular quantum numbers in powers of the rotation parameters up to second order.
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