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.

arXiv comment16 pages, 3 figures

References in corpus (8)

• Lectures on holographic methods for condensed matter physics
• Breaking an Abelian gauge symmetry near a black hole horizon
• Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
• Breaking the sound barrier in AdS/CFT
• Superradiance -- the 2020 Edition
• Monodromy dependence and connection formulae for isomonodromic tau functions
• Kerr-de Sitter Greybody Factors via Isomonodromy
• Quasinormal modes of a massless charged scalar field on a small Reissner-Nordström-anti-de Sitter black hole

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