Abstract
In this work we study the existence of mechanisms of the transition to global chaos in a closed Friedmann-Robertson-Walker universe with a massive conformally coupled scalar field. We propose a complexification of the radius of the universe so that the global dynamics can be understood. We show numerically the existence of heteroclinic connections of the unstable and stable manifolds to periodic orbits associated with the saddle-center equilibrium points. We find two bifurcations which are crucial in creating noncollapsing universes both in the real version and in the imaginary extension of the models. The techniques presented here can be employed in any cosmological model.
- Received 17 June 2003
DOI:https://doi.org/10.1103/PhysRevD.68.123525
©2003 American Physical Society