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Kerr-Schild metrics revisited II. The complete vacuum solution

László Á. Gergely·Zoltán Perjés
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Abstract

The complete solution of Einstein's gravitational equations with a vacuum-vacuum Kerr-Schild pencil of metrics $g_{ab}+V l_al_b$ is obtained. Our result generalizes the solution of the Kerr-Schild problem with a flat metric $g_{ab}$ (represented by the Kerr theorem) to the case when $g_{ab}$ is the metric of a curved space-time.

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László Á. Gergely, Zoltán Perjés. 2002-03-26. Kerr-Schild metrics revisited II. The complete vacuum solution. https://doi.org/10.1063/1.530516

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