For Boulware-Deser-Wheeler black holes, quasinormal-mode spectra are pseudospectrally unstable, yet time-domain waveforms shift only quadratically under small potential bumps.
Linear stability of Einstein-Gauss-Bonnet static spacetimes. Part I: tensor perturbations
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We study the stability under linear perturbations of a class of static solutions of Einstein-Gauss-Bonnet gravity in $D=n+2$ dimensions with spatial slices of the form $\Sigma_{\k}^n \times {\mathbb R}^+$, $\Sigma_{\k}^n$ an $n-$manifold of constant curvature $\k$. Linear perturbations for this class of space-times can be generally classified into tensor, vector and scalar types. The analysis in this paper is restricted to tensor perturbations.
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The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework
For Boulware-Deser-Wheeler black holes, quasinormal-mode spectra are pseudospectrally unstable, yet time-domain waveforms shift only quadratically under small potential bumps.