Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-09-09
Class. Quantum Grav.28:125011, 2011; Class.Quant.Grav.28:125011,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, minor changes
Scientific paper
10.1088/0264-9381/28/12/125011
General properties of Kerr-Schild spacetimes with (A)dS background in arbitrary dimension 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.
Málek Tomáš
Pravda Vojtech
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