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

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Abstract

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=aε, -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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Authors and Affiliations

  1. Erevan State University, Armenia

    A. A. Saaryan

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  1. A. A. Saaryan
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Translated fromAstrofizika, Vol. 37, No. 3, 1994.

The author is grateful to the participants in the seminar of the Department of Theoretical Physics at Erevan State University for discussion of the results of this paper.

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Saaryan, A.A. A flat cosmological model in the bimetric scalar-tensor theory: An approach based on the qualitative theory of dynamical systems. Astrophysics 37, 261–270 (1994). https://doi.org/10.1007/BF02058782

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  • DOI: https://doi.org/10.1007/BF02058782

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