Quasinormal modes for Schwarzschild-AdS black holes: exponential convergence to the real axis

Abstract

We study quasinormal modes for massive scalar fields in Schwarzschild-anti-de Sitter black holes. When the mass-squared is above the Breitenlohner-Freedman bound we show that for large angular momenta, $\ell$, there exist quasinormal modes with imaginary parts of size $\exp (-\ell /C)$. We provide an asymptotic expansion for the real parts of the modes closest to the real axis and identify the vanishing of certain coefficients depending on the dimension.

References in corpus (4)

• Breit-Wigner resonances and the quasinormal modes of anti-de Sitter black holes
• Boundedness and growth for the massive wave equation on asymptotically anti-de Sitter black holes
• The Dirac system on the Anti-de Sitter Universe
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Cited by in corpus (3)

• On quasinormal modes of asymptotically anti-de Sitter black holes
• Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes
• Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime