2008

Higher dimensional Kerr-Schild spacetimes

Ortaggio, Marcello, Pravda, Vojtech, Pravdova, Alena

Understand

We investigate general properties of Kerr-Schild (KS) metrics in n>4 spacetime dimensions.

First, we show that the Weyl tensor is of type II or more special if the null KS vector k is geodetic (or, equivalently, if T_{ab}k^ak^b=0).
We subsequently specialize to vacuum KS solutions, which naturally split into two families of non-expanding and expanding metrics.
After demonstrating that non-expanding solutions are equivalent to the known class of vacuum Kundt solutions of type N, we analyze expanding solutions in detail.

Built on

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