Quasinormal modes of the charged black hole in Gauss-Bonnet gravity

The D-dimensional string generated gravity models lead to Einstein-Maxwell equations with a quadratic order correction term called the Gauss-Bonnet (GB) term. We calculate the quasinormal modes for the D-dimensional charged black hole in the framework of this model. The quasinormal spectrum essentially depends upon the Gauss-Bonnet coupling parameter alpha which is related to the string scale, and is totally different from that for black holes derived from Einstein action. In particular, at large alpha the quasinormal modes are proportional to alpha and, thus, have greater oscillation frequency and damping rate, while as alpha goes to zero the quasinormal modes approach their Schwarzschild values. In contrary to Einstein theory black hole behavior, the damping rate of the charged GB black hole as a function of charge does not contain a characteristic maximum, but instead the monotonic falling down is observed. In addition, there has been obtained an asymptotic formula for large multipole numbers.