Bifurcation of the quasinormal spectrum and Zero Damped Modes for rotating dilatonic black holes

Abstract

It has been recently found that for the near extremal Kerr black holes appearing of Zero Damped Modes (accompanied by qusinormal mode branching) signifies about inapplicability of the regime of small perturbations and the onset of turbulence. Here we show that this phenomena is not limited by Kerr or Kerr-Newman solutions only, but also takes place for rotating dilatonic black holes for which we have found Zero Damped Modes both numerically and analytically. We have also shown that, contrary to recent claims, there is no instability of a charged massive scalar field in the background of the rotating dilatonic black hole under physically adequate boundary conditions. Analytic expression for dominant quasinormal frequencies is deduced in the regime of large coupling qQ, where q and Q are the field and black hole charges respectively.

6 pages, 5 figures

References in corpus (8)

• Stability and quasinormal modes of the massive scalar field around Kerr black holes
• Slow relaxation of rapidly rotating black holes
• Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing
• Branching of quasinormal modes for nearly extremal Kerr black holes
• Massive scalar field quasi-normal modes of higher dimensional black holes
• Turbulent Black Holes
• Charged scalar field instability between the event and cosmological horizons
• The Quasinormal Modes of Weakly Charged Kerr-Newman Spacetimes

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