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Vacuum Kerr-Schild metrics generated by nontwisting congruences

László Á. Gergely·Zoltán Perjés
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Abstract

The Kerr-Schild pencil of metrics $\tilde g_{ab}=g_{ab}+V l_al_b$, with $g_{ab}$ and $\tilde g_{ab}$ 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 wich 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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László Á. Gergely, Zoltán Perjés. 2002-03-26. Vacuum Kerr-Schild metrics generated by nontwisting congruences. https://doi.org/10.1002/andp.19945060706

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