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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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5 pages,LaTeX

Scientific paper

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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