A flat cosmological model in the bimetric scalar-tensor theory: An approach based on the qualitative theory of dynamical systems

Details A flat cosmological model in the bimetric scalar-tensor theory: An approach based on the qualitative theory of dynamical systems A flat cosmological model in the bimetric scalar-tensor theory: An approach based on the qualitative theory of dynamical systems

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ap.....37..261s&link_type=abstract

Astrophysics, Volume 37, Issue 3, pp.261-270

Astronomy and Astrophysics

Astrophysics

Scientific paper

We apply the methods of the qualitative theory of dynamical systems to study a flat cosmological model of the bimetric scalar-tensor theory (BSTT) of gravitation with the equation of state p=aɛ, -¹⩽a⩽1. We single out the basic classes of solutions and study their behavior in different limiting cases. We show that the properties of the model depend critically on the value of the dimensionless parameter of the theory. We find the bifurcation lines of the corresponding dynamical system and study the behavior of the phase trajectories in a neighborhood of these lines.

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