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Bifurcating Solutions of the Lichnerowicz Equation

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Abstract

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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Authors and Affiliations

  1. Erwin Schrödinger Institute and Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090, Vienna, Austria

    Piotr T. Chruściel

  2. LMPT Tours, UFR Sciences et Techniques, Université François Rabelais, Parc de Grandmont, 37200, Tours, France

    Romain Gicquaud

Authors
  1. Piotr T. Chruściel
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  2. Romain Gicquaud
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Correspondence to Romain Gicquaud.

Additional information

Communicated by James A. Isenberg.

Supported in part by the Polish Ministry of Science and Higher Education Grant Nr N N201 372736.

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Chruściel, P.T., Gicquaud, R. Bifurcating Solutions of the Lichnerowicz Equation. Ann. Henri Poincaré 18, 643–679 (2017). https://doi.org/10.1007/s00023-016-0501-x

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