Remarks on the quasinormal modes of Taub-NUT-AdS$_4$
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912296445411328 |
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| author | Kalamakis, Georgios Petkou, Anastasios C. |
| author_facet | Kalamakis, Georgios Petkou, Anastasios C. |
| contents | We present results for the numerical evaluation of scalar quasinormal modes in Taub-NUT-AdS$_4$ 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-AdS$_4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21001 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remarks on the quasinormal modes of Taub-NUT-AdS$_4$ Kalamakis, Georgios Petkou, Anastasios C. General Relativity and Quantum Cosmology High Energy Physics - Theory We present results for the numerical evaluation of scalar quasinormal modes in Taub-NUT-AdS$_4$ 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-AdS$_4$. |
| title | Remarks on the quasinormal modes of Taub-NUT-AdS$_4$ |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.21001 |