Bifurcating solutions of the Lichnerowicz equation

DOI10.1007/s00023-016-0501-xzbMath1359.83007arXiv1506.00101OpenAlexW2964146767MaRDI QIDQ507736

Romain Gicquaud, Piotr T. Chrusciel

Publication date: 7 February 2017

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00101

zbMATH Keywords

positive cosmological constantNariaiLichnerowicz equationbifurcating solutionsSchwarzschild-de Sitter

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Kaluza-Klein and other higher-dimensional theories (83E15) Exact solutions to problems in general relativity and gravitational theory (83C15) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Einstein equations (35Q76)

Related Items (9)

The general relativistic constraint equations ⋮ The initial-value formulation of the λ-R model ⋮ Solutions to the Einstein-scalar field constraint equations with a small TT-tensor ⋮ Einstein-Lichnerowicz type singular perturbations of critical nonlinear elliptic equations in dimension 3 ⋮ A pointwise finite-dimensional reduction method for Einstein-Lichnerowicz-type systems: the six-dimensional case ⋮ Vacuum initial data on $\mathbb{S}^3$ from Killing vectors ⋮ Construction of vacuum initial data by the conformally covariant split system ⋮ A pointwise finite-dimensional reduction method for a fully coupled system of Einstein–Lichnerowicz type ⋮ Rotating Bowen–York initial data with a positive cosmological constant

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