Kerr-Schild metrics revisited II. The complete vacuum solution

Abstract

The complete solution of Einstein's gravitational equations with a vacuum-vacuum Kerr-Schild pencil of metrics $g_{ab}+V{l}_a{l}_b$ 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.

21 pages

References in corpus (1)

• Kerr-Schild metrics revisited I. The ground state

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