QNMs of scalar fields on small Reissner-Nordström-AdS₅ black holes

2021/10/15 by Amado, Julián Barragán, da Cunha, Bruno Carneiro, Pallante, Elisabetta
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2110.08349

Abstract

We study the quasinormal modes (QNMs) of a charged scalar field on a Reissner-Nordström-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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