Chaos in a Closed Friedmann-Robertson-Walker Universe: An Imaginary Approach

Details Chaos in a Closed Friedmann-Robertson-Walker Universe: An Imaginary Approach Chaos in a Closed Friedmann-Robertson-Walker Universe: An Imaginary Approach

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005tmgm.meet.1874j&link_type=abstract

The Tenth Marcel Grossmann Meeting. Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF), Rio

Physics

Scientific paper

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 non-collapsing 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.

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