Quasinormal modes of scalar fields on small Reissner-Nordström-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> black holes
Julián Barragán Amado, Bruno Carneiro da Cunha, Elisabetta Pallante
Abstract
We study the quasinormal modes (QNMs) of a charged scalar field on a Reissner-Nordstr\"om-anti-de Sitter (RN-${\mathrm{AdS}}_{5}$) 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.
Topics & Concepts
PhysicsScalar fieldScalar (mathematics)RADIUSLimit (mathematics)Mathematical physicsCharge (physics)Anti-de Sitter spaceField (mathematics)De Sitter universeQuantum mechanicsMathematical analysisGeometryPure mathematicsMathematicsComputer scienceComputer securityUniverseBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesPulsars and Gravitational Waves Research