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

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, , Citation Tomáš Málek and Vojtěch Pravda 2011 J. Phys.: Conf. Ser. 314 012111 DOI 10.1088/1742-6596/314/1/012111

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1 Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 180 00 Prague 8, Czech Republic

2 Institute of Mathematics, Academy of Sciences of the Czech Republic, Zitna 25, 115 67 Prague 1, Czech Republic

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1742-6596/314/1/012111

Abstract

Geometric properties of higher dimensional Kerr-Schild (KS) spacetimes with (A)dS background are summarised. For Einstein spaces algebraic types of the Weyl tensor compatible with the KS ansatz are established, optical properties of the KS vector are given. Important examples of exact solutions belonging to this class, such as Kerr-de Sitter metrics in arbitrary dimension are also briefly discussed.

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10.1088/1742-6596/314/1/012111