Gravitational quasinormal radiation of higher-dimensional black holes

We find the gravitational resonance [quasinormal (QN)] modes of the higher-dimensional Schwarzschild and Reissner-Nordström 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 $D=4\mathrm{}$ 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.