QNMs of scalar fields on small Reissner-Nordström-AdS${}_5$ black holes

Abstract

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

16 pages, 3 figures

References in corpus (1)

• Breaking the sound barrier in AdS/CFT

Cited by in corpus (1)

• Global study of the scalar quasi-normal modes of Kerr-AdS${}_5$ black holes: Stability, thermality, and horizon area quantization