QNMs of scalar fields on small Reissner-Nordstr\"{o}m-AdS$\mathbf{_5}$ black holes

Bruno Carneiro da Cunha; Elisabetta Pallante; Juli\'an Barrag\'an Amado

QNMs of scalar fields on small Reissner-Nordstr\"{o}m-AdS₅ black holes

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arxiv 2110.08349 v1 pith:V6OW7ESH submitted 2021-10-15 hep-th

QNMs of scalar fields on small Reissner-Nordstr\"{o}m-AdS₅ black holes

Juli\'an Barrag\'an Amado , Bruno Carneiro da Cunha , Elisabetta Pallante This is my paper

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We study the quasinormal modes (QNMs) of a charged scalar field on a Reissner-Nordstr\"{o}m-anti-de Sitter (RN-AdS$_{5}$) 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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