Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255910 | Journal of Geometry and Physics | 2018 | 10 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ikjyot Singh Kohli, Michael C. Haslam,