Kerr-Schild metrics revisited II. The complete vacuum solution

LÃ¡szlÃ³ Ã. Gergely; ZoltÃ¡n PerjÃ©s

doi:10.1063/1.530516

paper

Kerr-Schild metrics revisited II. The complete vacuum solution

arXiv:gr-qc/0203090 · doi:10.1063/1.530516

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