Extended Kerr-Schild spacetimes of any dimension

0447223 - MÚ 2016 RIV US eng C - Conference Paper (international conference)
Málek, Tomáš
Extended Kerr-Schild spacetimes of any dimension.
Journal of Physics: Conference Series. Vol. 600. Bristol: IOP Publishing, 2015, Č. 012040, s. 012040. ISSN 1742-6588.
[Spanish Relativity Meeting (ERE 2014): almost 100 years after Einstein's revolution. Valencia (ES), 01.09.2014-05.09.2014]
R&D Projects: GA ČR GB14-37086G
Institutional support: RVO:67985840
Keywords : Kerr-Schild spacetimes * black hole
Subject RIV: BA - General Mathematics
http://iopscience.iop.org/article/10.1088/1742-6596/600/1/012040/meta

We study geometric and algebraic properties of extended Kerr-Schild spacetimes (xKS), 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, it is shown that this condition becomes sufficient if we appropriately restrict the geometry of the null and spacelike vector fields. Examples of xKS spacetimes belonging to the Kundt class and also expanding xKS spacetimes, namely the CCLP black hole, are provided and briefly discussed.
Permanent Link: http://hdl.handle.net/11104/0249123