Exact algebraic separation of the gravitoelectromagnetic perturbations of Kerr-Newman-(anti-)de Sitter black holes
We obtain an explicit separation of the coupled gravitational and electromagnetic radiative equations on nonextremal Kerr--Newman--(anti-)de Sitter black holes with nonzero charge and rotation. The construction uses a matrix with constant determinant, chosen independently of the frequency and azimuthal number, and trea...