English

Bifurcating solutions of the Lichnerowicz equation

General Relativity and Quantum Cosmology 2016-04-12 v3 Analysis of PDEs Differential Geometry

Abstract

We give an exhaustive description of bifurcations and of the number of solutions of the vacuum Lichnerowicz equation with positive cosmological constant on S1×S2S^1\times S^2 with U(1)×SO(3)U(1)\times SO(3)-invariant seed data. The resulting CMC slicings of Schwarzschild-de Sitter and Nariai are described.

Cite

@article{arxiv.1506.00101,
  title  = {Bifurcating solutions of the Lichnerowicz equation},
  author = {Piotr Chruściel and Romain Gicquaud},
  journal= {arXiv preprint arXiv:1506.00101},
  year   = {2016}
}

Comments

33 pages, 25 figures

R2 v1 2026-06-22T09:44:18.898Z