Kerr–Schild spacetimes with an (A)dS background

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Published 11 May 2011 2011 IOP Publishing Ltd
, , Citation Tomáš Málek and Vojtěch Pravda 2011 Class. Quantum Grav. 28 125011 DOI 10.1088/0264-9381/28/12/125011

0264-9381/28/12/125011

Abstract

General properties of Kerr–Schild spacetimes with an (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.

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10.1088/0264-9381/28/12/125011