Publication date: Aug 2017
Abstract:
In Cardoso et al. [6] 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.
Authors:
Konoplya, R. A.; Stuchlík, Z.;