Branching of quasinormal modes for nearly extremal Kerr black holes

Abstract

We show that nearly extremal Kerr black holes have two distinct sets of quasinormal modes, which we call zero-damping modes (ZDMs) and damped modes (DMs). The ZDMs exist for all harmonic indices $l$ and $m\ge 0$, and their frequencies cluster onto the real axis in the extremal limit. The DMs have nonzero damping for all black hole spins; they exist for all counterrotating modes ($m<0$) and for corotating modes with $0\le \mu \lesssim {\mu }_c=0.74$ (in the eikonal limit), where $\mu \equiv m/(l+1/2)$. When the two families coexist, ZDMs and DMs merge to form a single set of quasinormal modes as the black hole spin decreases. Using the effective potential for perturbations of the Kerr spacetime, we give intuitive explanations for the absence of DMs in certain areas of the spectrum and for the branching of the spectrum into ZDMs and DMs at large spins.

5 pages, 3 figures

References in corpus (8)

• Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
• Test bodies and naked singularities: is the self-force the cosmic censor?
• Weak Cosmic Censorship: As Strong as Ever
• Slow relaxation of rapidly rotating black holes
• Kerr-CFT and gravitational perturbations
• Cargese Lectures on the Kerr/CFT Correspondence
• Gravitational instability of an extreme Kerr black hole
• Gravitational instabilities in Kerr space-times

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