Higher-Dimensional Kerr-Schild Spacetimes with (A)dS Background

Tomáš Málek

Geometric properties of higher-dimensional Kerr-Schild (KS) spacetimes with (A)dS background will be studied. The necessary and sufficient conditions under which the KS vector is geodetic are given. For Einstein spaces algebraic types of the Weyl tensor compatible with the Kerr-Schild ansatz are established, optical properties of the KS vector are given and dependence of various geometric quantities on the affine parameter $r$ along the KS congruence is determined. Important examples of exact solutions belonging to this class, such as Kerr-de Sitter metrics in arbitrary dimension will be also briefly discussed.