  Generalized Kerr-NUT-de Sitter spacetime is the most general spacetime which
admits a rank-2 closed conformal Killing-Yano tensor. It contains the
higher-dimensional Kerr-de Sitter black holes with partially equal angular
momenta. We study the separability of gravitational perturbations in the
generalized Kerr-NUT-de Sitter spacetime. We show that a certain type of tensor
perturbations admits the separation of variables. The linearized perturbation
equations for the Einstein condition are transformed into the ordinary
differential equations of Fuchs type.
