The Kerr-Schild ansatz for the Nariai spacetime and the generating conjecture
Milan Stefanik, Jan Horsky
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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