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Kerr-Schild metrics revisited I. The ground state

László Á. Gergely·Zoltán Perjés
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Abstract

The Kerr-Schild pencil of metrics $g_{ab}+\La l_al_b$ is investigated in the generic case when it maps an arbitrary vacuum space-time with metric $g_{ab}$ to a vacuum space-time. The theorem is proved that this generic case, with the field $l$ shearing, does not contain the shear-free subclass as a smooth limit. It is shown that one of the Kóta-Perjés metrics is a solution in the shearing class.

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László Á. Gergely, Zoltán Perjés. 2002-03-26. Kerr-Schild metrics revisited I. The ground state. https://doi.org/10.1063/1.530515

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