论文标题
高衍生重力中旋转黑洞的铃声
Ringing of rotating black holes in higher-derivative gravity
论文作者
论文摘要
我们计算最通用的高源重力理论的旋转黑洞溶液中的标量准模式(QNM)频率,以在曲率中四分位阶,从而降低了弱场的一般相对性,并且与其对称性兼容。管理QNM的波算子是不可分开的,但是我们表明可以通过投影在球体谐波集上提取QNM频率。我们已经获得了相对于KERR的准频率校正的准确结果,用于旋转无量纲旋转的黑洞,最高为$ \ sim 0.7 $。我们还讨论了我们的结果在多大程度上延续到了重力QNM的现象学更相关的情况下。最后,我们提供了一个辅助计算软件包,该软件包允许人们将计算概括为有效动作中较高衍生术语产生的任何有效的能量量张量。
We compute scalar quasinormal mode (QNM) frequencies in rotating black hole solutions of the most general class of higher-derivative gravity theories, to quartic order in the curvature, that reduce to General Relativity for weak fields and are compatible with its symmetries. The wave operator governing the QNMs is not separable, but we show one can extract the QNM frequencies by a projection onto the set of spheroidal harmonics. We have obtained accurate results for the quasinormal frequency corrections relative to Kerr for rotating black holes with dimensionless spins up to $\sim 0.7$. We also discuss to what extent our results carry over to the phenomenologically more relevant case of gravitational QNMs. Finally we provide an ancillary computational package that allows one to generalize our calculations to any effective energy-momentum tensor arising from higher-derivative terms in the effective action.