Abstract
AbstractThe Kerr‐Schild pencil of metrics gab = gab + Vlalb, with gab and gab satisfying the vacuum Einstein equations, is investigated in the case when the null vector l has vanishing twist. This class of Kerr‐Schild metrics contains two solutions: the Kasner metric and a metric which can be obtained from the Kasner metric by a complex coordinate transformation. Both are limiting cases of the Kóta‐Perjés metrics. The base space‐time is a pp‐wave.
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