Qualitative dynamical properties of a spatially closed FRW universe conformally coupled to a scalar field

Details Qualitative dynamical properties of a spatially closed FRW universe conformally coupled to a scalar field Qualitative dynamical properties of a spatially closed FRW universe conformally coupled to a scalar field

Feb 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001phrvd..63d4003c&link_type=abstract

Physical Review D, vol. 63, Issue 4, id. 044003

Physics

12

Quantum Field Theory In Curved Spacetime

Scientific paper

In this work the dynamics of a spatially closed Friedmann-Robertson-Walker model for the universe conformally coupled to a scalar field is studied. It is proven that this dynamics, formulated in terms of the proper time t (or cosmic time) is very simple. For arbitrary initial conditions, we prove that the universe will ultimately collapse in a finite time. We also show that there is no inflation at any stage of the evolution. When represented in phase space all trajectories of the system are unbounded, owing to a divergence that appears at the singularity, and showing that there is no chaos.

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