Extended Kerr–Schild spacetimes

0499282 - MÚ 2019 RIV SG eng C - Konferenční příspěvek (zahraniční konf.)
Málek, Tomáš
Extended Kerr–Schild spacetimes.
The Fourteenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories. Singapore: World Scientific, 2017 - (Bianchi, M.; Jantzen, R.; Ruffini, R.), s. 2571-2576. ISBN 978-981-3226-59-3.
[Proceedings of the MG14 Meeting on General Relativity. Rome (IT), 12.07.2015-18.07.2015]
Grant CEP: GA ČR GB14-37086G
Institucionální podpora: RVO:67985840
Klíčová slova: Kerr–Schild spacetimes * algebraic classification
Obor OECD: Applied mathematics
https://www.worldscientific.com/doi/10.1142/9789813226609_0308

We study geometric and algebraic properties of extended Kerr–Schild spacetimes (xKS) of any dimension, i.e. an extension of the Kerr–Schild (KS) ansatz where, in addition to the null KS vector, a spacelike vector field appears in the metric. In contrast to the KS case, it turns out that xKS spacetimes with a geodetic KS vector are not necessarily algebraically special and we obtain, in general, only a necessary condition under which the KS vector is geodetic. However, if we appropriately restrict the geometry of the null and spacelike vector fields, the condition becomes sufficient and such metrics are algebraically special provided the null KS vector has certain optical properties. Examples of xKS spacetimes belonging to the Kundt class and also expanding xKS spacetimes, namely the CCLP black hole, are given and briefly discussed.
Trvalý link: http://hdl.handle.net/11104/0291515