Kerr–Schild spacetimes with an (A)dS background

0359548 - MÚ 2012 RIV GB eng J - Journal Article
Málek, T. - Pravda, Vojtěch
Kerr–Schild spacetimes with an (A)dS background.
Classical and Quantum Gravity. Roč. 28, č. 12 (2011), s. 125011. ISSN 0264-9381. E-ISSN 1361-6382
R&D Projects: GA ČR GAP203/10/0749
Institutional research plan: CEZ:AV0Z10190503
Keywords : higher-dimensional gravity * algebraic classification * Einstein spacetimes * Kerr-Schild spacetimes
Subject RIV: BA - General Mathematics
Impact factor: 3.320, year: 2011
http://iopscience.iop.org/0264-9381/28/12/125011/

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.
Permanent Link: http://hdl.handle.net/11104/0197320