QNMs of scalar fields on small Reissner-Nordstr\"om-AdS5 black holes
Abstract
We study the quasinormal modes (QNMs) of a charged scalar field on a Reissner-Nordstr\"om-anti-de Sitter (RN-AdS5) black hole in the small radius limit by using the isomonodromic method. We also derive the low-temperature expansion of the fundamental QNM frequency. Finally, we provide numerical evidence that instabilities appear in the small radius limit for large values of the charge of the scalar field.
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