Einstein's Field Equations as a Fold Bifurcation
arXiv:1607.05300 · doi:10.1016/j.geomphys.2017.10.001
Abstract
It is shown that Einstein's field equations for \emph{all} perfect-fluid 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 \emph{emerge} via this bifurcation.
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