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The Kerr-Schild ansatz for the Nariai spacetime and the generating conjecture

Milan Stefanik·Jan Horsky
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Abstract

We will show that the Nariai metric, i.e. the static spherically symmetric vacuum spacetime with a cosmological constant, admits a conformally Kerr-Schild spacetime representation. We find the vacuum solutions of the Einstein-Maxwell equations for the Nariai metric using the Horsky-Mitskievich generating conjecture.

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Milan Stefanik, Jan Horsky. 2000-06-19. The Kerr-Schild ansatz for the Nariai spacetime and the generating conjecture. https://arxiv.org/abs/gr-qc/0006064

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