Einstein's Field Equations as a Fold Bifurcation

Ikjyot Singh Kohli; Michael C. Haslam

doi:10.1016/j.geomphys.2017.10.001

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arXiv · 1607.05300

Einstein's Field Equations as a Fold Bifurcation

Ikjyot Singh Kohli·Michael C. Haslam

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Abstract

It is shown that Einstein's field equations for \emph{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 \emph{emerge} via this bifurcation.

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Ikjyot Singh Kohli, Michael C. Haslam. 2016-07-03. Einstein's Field Equations as a Fold Bifurcation. https://doi.org/10.1016/j.geomphys.2017.10.001

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