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Kerr–Schild spacetimes with an (A)dS background
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SYSNO ASEP 0359548 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Kerr–Schild spacetimes with an (A)dS background Author(s) Málek, T. (CZ)
Pravda, Vojtěch (MU-W) RID, SAI, ORCIDSource Title Classical and Quantum Gravity. - : Institute of Physics Publishing - ISSN 0264-9381
Roč. 28, č. 12 (2011), s. 125011Number of pages 17 s. Language eng - English Country GB - United Kingdom Keywords higher-dimensional gravity ; algebraic classification ; Einstein spacetimes ; Kerr-Schild spacetimes Subject RIV BA - General Mathematics R&D Projects GAP203/10/0749 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000291033000012 EID SCOPUS 79959857718 DOI 10.1088/0264-9381/28/12/125011 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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