Kerr-Schild spacetimes with (A)dS background

arxiv: 1009.1727 · v3 · pith:HSY5YNBJnew · submitted 2010-09-09 · 🌀 gr-qc · hep-th

Kerr-Schild spacetimes with (A)dS background

Tom\'a\v{s} M\'alek , Vojt\v{e}ch Pravda This is my paper

classification 🌀 gr-qc hep-th

keywords spacetimeskerr-schildbackgroundtypeweylallowsarbitraryboost

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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.

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Kerr-Schild spacetimes with (A)dS background

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