Einstein's Field Equations as a Fold Bifurcation
General Physics
2017-11-07 v1
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.
Keywords
Cite
@article{arxiv.1607.05300,
title = {Einstein's Field Equations as a Fold Bifurcation},
author = {Ikjyot Singh Kohli and Michael C. Haslam},
journal= {arXiv preprint arXiv:1607.05300},
year = {2017}
}