Solution of the vacuum Kerr-Schild problem
L\'aszl\'o \'A. Gergely, Zolt\'an Perj\'es
TL;DR
This paper presents a comprehensive solution to the vacuum Kerr-Schild equations in general relativity, extending Kerr's earlier work to include curved background metrics, thereby broadening the understanding of these solutions.
Contribution
It provides the first complete solution for vacuum Kerr-Schild equations with curved backgrounds, expanding the scope beyond Kerr's flat background results.
Findings
Complete solutions for vacuum Kerr-Schild equations with curved backgrounds
Extension of Kerr's flat background solutions to curved spacetimes
Enhanced understanding of Kerr-Schild metrics in general relativity
Abstract
The complete solution of the vacuum Kerr-Schild equations in general relativity is presented, including the space-times with a curved background metric. The corresponding result for a flat background has been obtained by Kerr.
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