KerrSchild spacetimes with an (A)dS background

Tomáš Málek (1) , Vojtěch Pravda (2)

1 Faculty of Mathematics and Physics [Praha/Prague]
2 Institute of Mathematics

General properties of Kerr-Schild spacetimes with (A)dS background in arbitrary dimension n > 3 are studied. It is shown that the geodetic Kerr-Schild vector k is a multiple WAND of the spacetime. Einstein Kerr-Schild spacetimes with non-expanding k are shown to be of Weyl type N, while the expanding spacetimes are of type II or D. It is shown that this class of spacetimes obeys the optical constraint. This allows us to solve Sachs equation, determine r-dependence of boost weight zero components of the Weyl tensor and discuss curvature singularities.

Mots clés: Physical Sciences

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Tomáš Málek, Vojtěch Pravda. KerrSchild spacetimes with an (A)dS background. Classical and Quantum Gravity, 2011, 28 (12), pp.125011. ⟨10.1088/0264-9381/28/12/125011⟩. ⟨hal-00710469⟩