We present results for the numerical evaluation of scalar quasinormal modes in Taub-NUT-AdS₄ spacetimes. To achieve this we consider angular modes that correspond to non-unitary highest weight SU(2) representations since global regularity is not consistent with the presence of complex quasinormal modes. We show that for any non-zero value of the NUT charge n there exists a region in the complex plane that contains only stable quasinormal modes. The radius of this region increases with the horizon distance and decreases with n towards a constant value for infinite n. We also find analytic and numerical evidence for the existence of a critical NUT charge n_cr beyond which the lowest lying stable quasinormal modes become overdamped. Our results draw an intricate picture for the holographic fluid of Taub-NUT-AdS₄.

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关于 Taub-NUT-AdS4 准正规模态的说明

我们展示了 Taub-NUT-AdS₄ 时空中标量准正态的数值评估结果。为此，我们考虑了对应非酉最高权重 SU（2）表示的角度模态，因为全局正则性与复拟正态模态的存在不一致。我们证明，对于任意非零的 NUT 电荷 n，复平面上存在一个区域仅包含稳定的准正态模态。该区域的半径随地平线距离增加而增大，随 n 减小，恒定值为无限大 n。我们还发现存在临界 NUT 电荷 n_cr，超过该值的最低稳定准正态模会被过阻尼。我们的结果为 Taub-NUT-AdS₄ 的全息流体绘制了复杂图景。