Are eikonal quasinormal modes linked to the unstable circular null geodesics?
arXiv:1705.05928 · doi:10.1016/j.physletb.2017.06.015
Abstract
In Phys. Rev. D 79, 064016 (2009) it was claimed that quasinormal modes which any stationary, spherically symmetric and asymptotically flat black hole emits in the eikonal regime are determined by the parameters of the circular null geodesic: the real and imaginary parts of the quasinormal mode are multiples of the frequency and instability timescale of the circular null geodesics respectively. We shall consider asymptotically flat black hole in the Einstein-Lovelock theory, find analytical expressions for gravitational quasinormal modes in the eikonal regime and analyze the null geodesics. Comparison of the both phenomena shows that the expected link between the null geodesics and quasinormal modes is violated in the Einstein-Lovelock theory. Nevertheless, the correspondence exists for a number of other cases and here we formulate its actual limits.
8 pages, revtex, refereed version, accepted for publication in Physics Letters B
References in corpus (10)
- Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
- (In)stability of D-dimensional black holes in Gauss-Bonnet theory
- Upper bound on the radii of black-hole photonspheres
- Catastrophic Instability of Small Lovelock Black Holes
- Master Equations for Gravitational Perturbations of Static Lovelock Black Holes in Higher Dimensions
- Gravitational instability of static spherically symmetric Einstein-Gauss-Bonnet black holes in five and six dimensions
- Quasinormal modes of nonlinear electromagnetic black holes from unstable null geodesics
- Quasinormal modes for tensor and vector type perturbation of Gauss Bonnet black holes using third order WKB approach
- Evolution of Brane-Localised Standard Model Fields in Gauss-Bonnet theory
- Instability of Charged Gauss-Bonnet Black Hole in de Sitter Spacetime at Large
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