MG14 - Talk detail |
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Participant |
Malek, Tomas | |||||||
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Institution |
Institute of Mathematics, Academy of Sciences of the Czech Republic - Zitná 25 - Praha - - Czech Republic | |||||||
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Session |
ES1 |
Accepted |
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Talk |
Oral abstract |
Title |
Extended Kerr-Schild Spacetimes | |||||
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Abstract |
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. |
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