Numerical evaluation reveals stable quasinormal modes in Taub-NUT-AdS4 spacetimes, indicating critical charge implications.
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 ncr 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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Kalamakis et al. (2025) studied this question.
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