Bifurcating Solutions of the Lichnerowicz Equation

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 × S 2 with U ( 1 ) × S O ( 3 ) -invariant seed data. The resulting CMC slicings of Schwarzschild–de Sitter and Nariai are described.

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Veröffentlicht in:	Annales Henri Poincaré 2017-02, Vol.18 (2), p.643-679
Hauptverfasser:	Chruściel, Piotr T., Gicquaud, Romain
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Bifurcations Classical and Quantum Gravitation Cosmological constant Differential Geometry Dynamical Systems and Ergodic Theory Elementary Particles General Relativity and Quantum Cosmology Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Physics Physics and Astronomy Quantum Field Theory Quantum Physics Relativity Theory Theoretical
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Beschreibung
Zusammenfassung:	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 × S 2 with U ( 1 ) × S O ( 3 ) -invariant seed data. The resulting CMC slicings of Schwarzschild–de Sitter and Nariai are described.
ISSN:	1424-0637 1424-0661
DOI:	10.1007/s00023-016-0501-x