2016/07/03 by Ikjyot Singh Kohli, Michael C. Haslam · 1 citation
Mathematics · Physics and Astronomy · #Bifurcation #Bifurcation theory #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Einstein #Einstein field equations #Friedmann–Lemaître–Robertson–Walker metric #Galaxies: Formation, Evolution, Phenomena #Mathematical physics #Mathematics #Minkowski space #Nonlinear system #Physics #Quantum mechanics #Saddle-node bifurcation #Universe #de Sitter invariant special relativity #physics.gen-ph
paper · pdf · doi:10.1016/j.geomphys.2017.10.001
published as J.Geom.Phys. 123 (2018) 434-437
arxiv created 2016/07/03 · openalex publication_date 2017/10/19 · arxiv updated 2017/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that Einstein's field equations for all perfect-fluid k=0 FLRW cosmologies have the same form as the topological normal form of a fold bifurcation. In particular, we assume that the cosmological constant is a bifurcation parameter, and as such, fold bifurcation behaviour is shown to occur in a neighbourhood of Minkowski spacetime in the phase space. We show that as this cosmological constant parameter is varied, an expanding and contracting de Sitter universe emerge via this bifurcation.