Quasinormal modes of rapidly rotating Ellis-Bronnikov wormholes

Abstract

We present for the first time a study of the quasinormal modes of rapidly rotating Ellis-Bronnikov wormholes in General Relativity. We compute the spectrum of the wormholes using a spectral decomposition of the metric perturbations on a numerical background. We focus on the $M_z=2,3$ sector of the perturbations, and show that the triple isospectrality of the symmetric and static Ellis-Bronnikov wormhole is broken due to rotation, giving rise to a much richer spectrum than the spectrum of Kerr black holes. We do not find any instabilities for $M_z=2,3$ perturbations.

19 pages, 4 figures, 3 tables; v2: equations added, results unchanged, matches published version

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• Quadrupole perturbations of slowly spinning Ellis-Bronnikov wormholes