Bifurcating solutions of the Lichnerowicz equation

preprint2016arXivOpen access

We give an exhaustive description of bifurcations and of the number of solutions of the vacuum Lichnerowicz equation with positive cosmological constant on $S^1\times S^2$ with $U(1)\times SO(3)$ -invariant seed data. The resulting CMC slicings of Schwarzschild-de Sitter and Nariai are described.

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Bifurcating solutions of the Lichnerowicz equation

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