Gravitational quasinormal radiation of higher-dimensional black holes

We find the gravitational resonance [quasinormal (QN)] modes of the higher-dimensional Schwarzschild and Reissner-Nordstrom black holes. The effect on the quasinormal behavior due to the presence of the lambda term is investigated. The QN spectrum is totally different for different signs of lambda. In more than four dimensions three types of gravitational modes were excited: scalar, vector, and tensor. They produce three different quasinormal spectra; thus, the isospectrality between scalar and vector perturbations, which takes place for D=4 Schwarzschild and Schwarzschild-de Sitter black holes, is broken in higher dimensions, that is, the scalar-type gravitational perturbations, connected with fluctuations of the black hole horizon, which damp most slowly and therefore dominate during late time of the black hole ringing.