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Instability in charged Gauss-Bonnet-de Sitter black holes
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Arxiv
We study the instability of the charged Gauss-Bonnet de Sitter black holes
under gravito-electromagnetic perturbations. We adopt two criteria to search
for an instability of the scalar type perturbations, including the local
instability criterion based on the $AdS_2$ Breitenl\"{o}hner-Freedman (BF)
bound at extremality and the dynamical instability via quasinormal modes by
full numerical analysis. We uncover the gravitational instability in five
spacetime dimensions and above, and construct the complete parameter space in
terms of the ratio of event and cosmological horizons and the Gauss-Bonnet
coupling. We show that the BF bound violation is a sufficient but not necessary
condition for the presence of dynamical instability. While the physical origin
of the instability without the Gauss-Bonnet term has been argued to be from the
$AdS_2$ BF bound violation, our analysis suggests that the BF bound violation
can not account for all physical origin of the instability for the charged
Gauss-Bonnet black holes.
Arxiv
