1212.1907 (Oran Gannot)

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

Oran Gannot

We study quasinormal modes of massive scalar fields in AdS--Schwarzschild 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 $O(\exp(-\ell/C))$. We provide an asymptotic expansion of the real parts of the modes closest to the real axis and show that the when the spatial dimension is three, the third term is of the size $\ell^{-\frac12}$.

View original: http://arxiv.org/abs/1212.1907