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We find the gravitational resonance quasinormal (QN) modes of the higher-dimensional Schwarzschild and Reissner-Nordstr\"om black holes. The effect on the quasinormal behavior due to the presence of the term is investigated. The QN spectrum is totally different for different signs of. 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.
R. A. Konoplya (Tue,) studied this question.