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

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arxiv 1212.1907 v4 pith:7FCZKOEQ submitted 2012-12-09 math.SP gr-qcmath-phmath.MP

Oran Gannot This is my paper · ORCID
classification math.SPgr-qcmath-phmath.MP
keywords modesquasinormalrealaxisblackholespartsabove
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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.

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  1. Tails from the Bulk: Gravitational Decay in AdS$_5$

    hep-th 2025-06 conditional novelty 6.0 of 10

    Gravitational perturbations of Schwarzschild-AdS5 with analytic SO(3)-symmetric data decay at late times as v^{-2α/C}, with subleading oscillations periodic in log v with period C(y+).

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